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Physics

Heat

Easy

Question

$A space o n e space l i t r e space f l a s k space c o n t a i n s space s o m e space m e r c u r y. space I t space i s space f o u n d space t h a t space a t space d i f f e r e n t space t e m p e r a t u r e s space t h e space v o l u m e space o f space a i r space i n s i d e space t h e space f l a s k space r e m a i n space s a m e. space T h e space v o l u m e space o f space m e r c u r y space t a k e n space i n space t h e space f l a s k space i s space left parenthesis c o e f f i c i e n t space o f space l i n e a r space e x p a n s i o n space o f space g l a s s space i s space space space 9 cross times 10 to the power of negative 6 end exponent divided by degree C space a n d space c o e f f i c i e n t space o f space v o l u m e space e x p a n s i o n space o f space H g space i s space 1.8 cross times 10 to the power of negative 4 end exponent divided by to the power of 0 straight C squared$

150ml
750ml
1000ml
700ml

The correct answer is: 150ml

$V subscript i gamma subscript i equals V subscript g gamma subscript g$

Related Questions to study

The density of a liquid at 100⁰C is 8.0 g/cm³ and at 00C is 8.4 g/cm³, the coefficient of cubical expansion of the liquid is

The density of a liquid at 100⁰C is 8.0 g/cm³ and at 00C is 8.4 g/cm³, the coefficient of cubical expansion of the liquid is

The apparent coefficient of expansion of liquid, when heated in a copper vessel is C and when heated in a silver vessel is S. If A is the linear coefficient of expansion of Copper, linear expansion coefficient of silver is

The apparent coefficient of expansion of liquid, when heated in a copper vessel is C and when heated in a silver vessel is S. If A is the linear coefficient of expansion of Copper, linear expansion coefficient of silver is

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$gamma subscript A text of liquid is end text 7 divided by 8 text of end text gamma subscript R text of liquid. end text alpha subscript s text of vessel is end text$

$gamma subscript A text of liquid is end text 7 divided by 8 text of end text gamma subscript R text of liquid. end text alpha subscript s text of vessel is end text$

$text The coefficient of real expansion of liquid is end text gamma subscript R text and the coefficient of apparent expansion of the end text text liquid is end text gamma subscript A text . The coefficient of cubical expansion of the vessel is end text gamma text . If end text gamma subscript R colon gamma subscript A equals 4 colon 1 text , then end text gamma subscript A colon gamma i s$

$text The coefficient of real expansion of liquid is end text gamma subscript R text and the coefficient of apparent expansion of the end text text liquid is end text gamma subscript A text . The coefficient of cubical expansion of the vessel is end text gamma text . If end text gamma subscript R colon gamma subscript A equals 4 colon 1 text , then end text gamma subscript A colon gamma i s$

$A space s a m p l e space o f space a n space i d e a l space g a s space i s space t a k e n space t h r o u g h space t h e space c y c l i c space p r o c e s s space a b c a space a s space s h o w n space i n space t h e space f i g u r e. space T h e space c h a n g e space i n space t h e space i n t e r n a l space e n e r g y space o f space t h e space g a s space a l o n g space t h e space p a t h space c a space i s space minus 180 space J. space T h e space g a s space a b s o r b s space 250 space J space o f space h e a t space a l o n g space t h e space p a t h space a b space a n d space 60 space J space a l o n g space t h e space p a t h space b e. space T h e space w o r k space d o n e space b y space t h e space g a s space a l o n g space t h e space p a t h space a b c space i s colon$

$A space s a m p l e space o f space a n space i d e a l space g a s space i s space t a k e n space t h r o u g h space t h e space c y c l i c space p r o c e s s space a b c a space a s space s h o w n space i n space t h e space f i g u r e. space T h e space c h a n g e space i n space t h e space i n t e r n a l space e n e r g y space o f space t h e space g a s space a l o n g space t h e space p a t h space c a space i s space minus 180 space J. space T h e space g a s space a b s o r b s space 250 space J space o f space h e a t space a l o n g space t h e space p a t h space a b space a n d space 60 space J space a l o n g space t h e space p a t h space b e. space T h e space w o r k space d o n e space b y space t h e space g a s space a l o n g space t h e space p a t h space a b c space i s colon$

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$W h e n space h e a t space Q space i s space s u p p l i e d space t o space a space d i a t o m i c space g a s space o f space r i g i d space m o l e c u l e s comma space a t space c o n s tan t space v o l u m e space i t s space t e m p e r a t u r e space i n c r e a s e s space b y space increment T. space T h e space h e a t space r e q u i r e d space t o space p r o d u c e space t h e space s a m e space c h a n g e space i n space t e m p e r a t u r e comma space a t space a space c o n s tan t space p r e s s u r e space i s space colon$

$W h e n space h e a t space Q space i s space s u p p l i e d space t o space a space d i a t o m i c space g a s space o f space r i g i d space m o l e c u l e s comma space a t space c o n s tan t space v o l u m e space i t s space t e m p e r a t u r e space i n c r e a s e s space b y space increment T. space T h e space h e a t space r e q u i r e d space t o space p r o d u c e space t h e space s a m e space c h a n g e space i n space t e m p e r a t u r e comma space a t space a space c o n s tan t space p r e s s u r e space i s space colon$

$A space c y l i n d e r space w i t h space f i x e d space c a p a c i t y space o f space 67.2 space l i t space c o n t a i n s space h e l i u m space g a s space a t space S T P. space T h e space a m o u n t space o f space h e a t space n e e d e d space t o space r a i s e space t h e t e m p e r a t u r e space o f space t h e space g a s space b y space 20 degree C space i s space colon space left square bracket G i v e n space t h a t open straight R equals 8.31 straight J mol to the power of negative 1 end exponent straight K to the power of negative 1 end exponent close square brackets$

$A space c y l i n d e r space w i t h space f i x e d space c a p a c i t y space o f space 67.2 space l i t space c o n t a i n s space h e l i u m space g a s space a t space S T P. space T h e space a m o u n t space o f space h e a t space n e e d e d space t o space r a i s e space t h e t e m p e r a t u r e space o f space t h e space g a s space b y space 20 degree C space i s space colon space left square bracket G i v e n space t h a t open straight R equals 8.31 straight J mol to the power of negative 1 end exponent straight K to the power of negative 1 end exponent close square brackets$

$T h e space g i v e n space d i a g r a m space s h o w s space f o u r space p r o c e s s e s space i. e. comma space i s o c h o r i c comma space i s o b a r i c comma space i s o t h e r m a l space a n d space a d i a b a t i c. space T h e space c o r r e c t space a s s i g n m e n t space o f space t h e space p r o c e s s e s comma space i n space t h e space s a m e space o r d e r space i s space g i v e n space b y space minus space$

$T h e space g i v e n space d i a g r a m space s h o w s space f o u r space p r o c e s s e s space i. e. comma space i s o c h o r i c comma space i s o b a r i c comma space i s o t h e r m a l space a n d space a d i a b a t i c. space T h e space c o r r e c t space a s s i g n m e n t space o f space t h e space p r o c e s s e s comma space i n space t h e space s a m e space o r d e r space i s space g i v e n space b y space minus space$

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$T w o space i d e n t i c a l space b e a k e r s space A space a n d space B space c o n t a i n space e q u a l space v o l u m e s space o f space t w o space d i f f e r e n t space l i q u i d s space a t space 60 to the power of 0 C space e a c h space a n d space l e f t space t o space c o o l space d o w n. space L i q u i d space i n space A space h a s space d e n s i t y space o f space 8 cross times 10 squared kg divided by straight m cubed space a n d space s p e c i f i c space h e a t space o f space 2000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent space w h i l e space l i q u i d space i n space B space h a s space d e n s i t y space o f space 10 cubed kgm to the power of negative 3 end exponent space a n d space s p e c i f i c space h e a t space o f space 4000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent. space W h i c h space o f space t h e space f o l l o w i n g space b e s t space d e s c r i b e s space t h e i r space t e m p e r a t u r e space v e r s u s space t i m e space g r a p h space s c h e m a t i c a l l y ? space left parenthesis a s s u m e space t h e space e m i s s i v i t y space o f space b o t h space t h e space b e a k e r s space t o space b e space t h e space s a m e right parenthesis$

$T w o space i d e n t i c a l space b e a k e r s space A space a n d space B space c o n t a i n space e q u a l space v o l u m e s space o f space t w o space d i f f e r e n t space l i q u i d s space a t space 60 to the power of 0 C space e a c h space a n d space l e f t space t o space c o o l space d o w n. space L i q u i d space i n space A space h a s space d e n s i t y space o f space 8 cross times 10 squared kg divided by straight m cubed space a n d space s p e c i f i c space h e a t space o f space 2000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent space w h i l e space l i q u i d space i n space B space h a s space d e n s i t y space o f space 10 cubed kgm to the power of negative 3 end exponent space a n d space s p e c i f i c space h e a t space o f space 4000 straight J kg to the power of negative 1 end exponent straight K to the power of negative 1 end exponent. space W h i c h space o f space t h e space f o l l o w i n g space b e s t space d e s c r i b e s space t h e i r space t e m p e r a t u r e space v e r s u s space t i m e space g r a p h space s c h e m a t i c a l l y ? space left parenthesis a s s u m e space t h e space e m i s s i v i t y space o f space b o t h space t h e space b e a k e r s space t o space b e space t h e space s a m e right parenthesis$

$A space t h e r m a l l y space i n s u l a t e d space v e s s e l space c o n t a i n s space 150 space g space o f space w a t e r space a t space 0 degree C. space T h e n space t h e space a i r space f r o m space t h e space v e s s e l space i s space p u m p e d space o u t space a d i a b a t i c a l l y. space A space f r a c t i o n space o f space w a t e r space t u r n s space i n t o space i c e space a n d space t h e space r e s t space e v a p o r a t e s space a t space 0 degree C space i t s e l f. space T h e space m a s s space o f space e v a p o r a t e d space w a t e r space w i l l space b e space c l o s e s t space t o space – space left parenthesis L a t e n t space h e a t space o f space v a p o r i z a t i o n space o f space w a t e r space equals space 2.10 space cross times space 10 to the power of 6 space J k g to the power of negative 1 end exponent space a n d space L a t e n t space h e a t space o f space f u s i o n space o f space w a t e r space equals space 3.36 space cross times space 10 to the power of 5 space J space k g to the power of negative 1 end exponent right parenthesis$

$A space t h e r m a l l y space i n s u l a t e d space v e s s e l space c o n t a i n s space 150 space g space o f space w a t e r space a t space 0 degree C. space T h e n space t h e space a i r space f r o m space t h e space v e s s e l space i s space p u m p e d space o u t space a d i a b a t i c a l l y. space A space f r a c t i o n space o f space w a t e r space t u r n s space i n t o space i c e space a n d space t h e space r e s t space e v a p o r a t e s space a t space 0 degree C space i t s e l f. space T h e space m a s s space o f space e v a p o r a t e d space w a t e r space w i l l space b e space c l o s e s t space t o space – space left parenthesis L a t e n t space h e a t space o f space v a p o r i z a t i o n space o f space w a t e r space equals space 2.10 space cross times space 10 to the power of 6 space J k g to the power of negative 1 end exponent space a n d space L a t e n t space h e a t space o f space f u s i o n space o f space w a t e r space equals space 3.36 space cross times space 10 to the power of 5 space J space k g to the power of negative 1 end exponent right parenthesis$

$W h e n space M subscript 1 space g r a m space o f space i c e space a t space minus 10 to the power of 0 C space left parenthesis s p e c i f i c space h e a t space equals 0.5 c a l g to the power of negative 1 end exponent C presuperscript ring operator to the power of negative 1 end exponent right parenthesis space i s space a d d e d space t o space M subscript 2 comma space g r a m space o f space w a t e r space a t space 50 to the power of 0 C comma space f i n a l l y space n o space i c e space i s space l e f t space a n d space t h e space w a t e r space i s space a t space 0 to the power of 0 C. space T h e space v a l u e space o f space l a t e n t space h e a t space o f space i c e comma space i n space c a l space g space to the power of negative 1 end exponent space i s space colon$

$W h e n space M subscript 1 space g r a m space o f space i c e space a t space minus 10 to the power of 0 C space left parenthesis s p e c i f i c space h e a t space equals 0.5 c a l g to the power of negative 1 end exponent C presuperscript ring operator to the power of negative 1 end exponent right parenthesis space i s space a d d e d space t o space M subscript 2 comma space g r a m space o f space w a t e r space a t space 50 to the power of 0 C comma space f i n a l l y space n o space i c e space i s space l e f t space a n d space t h e space w a t e r space i s space a t space 0 to the power of 0 C. space T h e space v a l u e space o f space l a t e n t space h e a t space o f space i c e comma space i n space c a l space g space to the power of negative 1 end exponent space i s space colon$

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$T w o space m o l e s space o f space h e l i u m space g a s space i s space m i x e d space w i t h space t h r e e space m o l e s space o f space h y d r o g e n space m o l e c u l e s space left parenthesis t a k e n space t o space b e space r i g i d right parenthesis. space W h a t space i s space t h e space m o l a r space s p e c i f i c space h e a t space o f space m i x t u r e space a t space c o n s tan t space v o l u m e ? space left parenthesis space R space equals 8.3 space J space divided by space m o l space K space right parenthesis$

$T w o space m o l e s space o f space h e l i u m space g a s space i s space m i x e d space w i t h space t h r e e space m o l e s space o f space h y d r o g e n space m o l e c u l e s space left parenthesis t a k e n space t o space b e space r i g i d right parenthesis. space W h a t space i s space t h e space m o l a r space s p e c i f i c space h e a t space o f space m i x t u r e space a t space c o n s tan t space v o l u m e ? space left parenthesis space R space equals 8.3 space J space divided by space m o l space K space right parenthesis$

$L i g h t space i s space i n c i d e n t space n o r m a l l y space o n space a space c o m p l e t e l y space a b s o r b i n g space s u r f a c e space w i t h space a n space e n e r g y space f l u x space o f space 25 space W space c m space to the power of negative 2 end exponent. space I f space t h e space s u r f a c e space h a s space a n space a r e a space o f space 25 space c m space squared comma space t h e space m o m e n t u m space t r a n s f e r r e d space t o space t h e space s u r f a c e space i n space 40 space m i n space t i m e space d u r a t i o n space w i l l space b e space colon$

$L i g h t space i s space i n c i d e n t space n o r m a l l y space o n space a space c o m p l e t e l y space a b s o r b i n g space s u r f a c e space w i t h space a n space e n e r g y space f l u x space o f space 25 space W space c m space to the power of negative 2 end exponent. space I f space t h e space s u r f a c e space h a s space a n space a r e a space o f space 25 space c m space squared comma space t h e space m o m e n t u m space t r a n s f e r r e d space t o space t h e space s u r f a c e space i n space 40 space m i n space t i m e space d u r a t i o n space w i l l space b e space colon$

$O n e space m o l e space o f space i d e a l space g a s space p a s s e s space t h r o u g h space a space p r o c e s s space w h e r e space p r e s s u r e space a n d space v o l u m e space o b e y space t h e space r e l a t i o n space P equals P subscript 0 open square brackets 1 minus 1 half open parentheses V subscript 0 over V close parentheses squared close square brackets. space H e r e space P subscript 0 space a n d space V subscript 0 space a r e space c o n s tan t s. space C a l c u l a t e space t h e space c h a n g e space i n space t h e space t e m p e r a t u r e space o f space t h e space g a s space i f space i t s space v o l u m e space c h a n g e s space f o r m space V subscript 0 space t o space 2 space V subscript 0$

$O n e space m o l e space o f space i d e a l space g a s space p a s s e s space t h r o u g h space a space p r o c e s s space w h e r e space p r e s s u r e space a n d space v o l u m e space o b e y space t h e space r e l a t i o n space P equals P subscript 0 open square brackets 1 minus 1 half open parentheses V subscript 0 over V close parentheses squared close square brackets. space H e r e space P subscript 0 space a n d space V subscript 0 space a r e space c o n s tan t s. space C a l c u l a t e space t h e space c h a n g e space i n space t h e space t e m p e r a t u r e space o f space t h e space g a s space i f space i t s space v o l u m e space c h a n g e s space f o r m space V subscript 0 space t o space 2 space V subscript 0$

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