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Physics

Heat

Easy

Question

$text When a liquid in a glass vessel is heated, its apparent expansion is end text 10.30 cross times 10 to the power of negative 4 end exponent divided by to the power of ring operator straight C text . Same liquid end text text when heated in a metallic vessel, its apparent expansion is end text 10.06 cross times 10 to the power of negative 4 end exponent divided by to the power of ring operator straight C text . The coefficient of end text text linear expansion of metal is end text open parentheses alpha subscript text glass end text end subscript equals 9 cross times 10 to the power of negative 5 divided by 0 end exponent straight C close parentheses$

$51 \times 10^{- 6 %} C$
$43 \times 10^{- 6 %} C$
$25 \times 10^{- 6 %} C$
$17 \times 10^{- 6 %} C$

The correct answer is: $17 cross times 10 to the power of negative 6 straight percent sign end exponent straight C$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em rowspacing 3 pt end attributes row cell text For copper vessel end text gamma subscript R equals open parentheses gamma subscript A close parentheses subscript c plus 3 alpha subscript c end cell row cell text For silver vessel end text gamma subscript R equals open parentheses gamma subscript A close parentheses subscript s plus 3 alpha subscript z end cell end table$

Related Questions to study

$text The coefficient of real expansion end text gamma subscript R text of a liquid is end text 5 text times the coefficient of linear expansion of end text t h e space m a t e r i a l space o f space t h e space c o n t a i n e r space i n space w h i c h space t h e space l i q u i d space i s space p r e s e n t. space T h e space r a t i o space o f space t h e space c o e f f i c i e n t space o f space$ apparent expansion and real expansion of the liquid is

$text The coefficient of real expansion end text gamma subscript R text of a liquid is end text 5 text times the coefficient of linear expansion of end text t h e space m a t e r i a l space o f space t h e space c o n t a i n e r space i n space w h i c h space t h e space l i q u i d space i s space p r e s e n t. space T h e space r a t i o space o f space t h e space c o e f f i c i e n t space o f space$ apparent expansion and real expansion of the liquid is

$text The coefficient of real expansion of a liquid is end text 7 cross times 10 to the power of negative 40 end exponent straight C text . The co-efficient of linear expansion end text text of the vessel is end text 1 cross times 10 to the power of negative 5 end exponent divided by to the power of 0 straight C text . The coefficient of apparent expansion of the liquid is end text$

$text The coefficient of real expansion of a liquid is end text 7 cross times 10 to the power of negative 40 end exponent straight C text . The co-efficient of linear expansion end text text of the vessel is end text 1 cross times 10 to the power of negative 5 end exponent divided by to the power of 0 straight C text . The coefficient of apparent expansion of the liquid is end text$

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$text A glass bulb of volume end text 250 cc text is filled with mercury at end text 20 to the power of ring operator straight C text and the temperature is raised to end text 100 to the power of ring operator straight C text . If the coefficient of linear expansion of glass is end text 9 cross times 10 to the power of negative 6 end exponent divided by to the power of ring operator straight C text Coefficient of absolute end text text expansion of mercury is end text 18 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C text . The volume of mercury overflows end text$

$text A glass bulb of volume end text 250 cc text is filled with mercury at end text 20 to the power of ring operator straight C text and the temperature is raised to end text 100 to the power of ring operator straight C text . If the coefficient of linear expansion of glass is end text 9 cross times 10 to the power of negative 6 end exponent divided by to the power of ring operator straight C text Coefficient of absolute end text text expansion of mercury is end text 18 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C text . The volume of mercury overflows end text$

$A space l i q u i d space o c c u p i e s space h a l f space o f space a space v e s s e l space a t space a space p a r t i c u l a r space t e m p e r a t u r e. space T h e space v o l u m e space o f space t h e space u n o c c u p i e d space text part remains constant at all temperatures. If end text alpha text and end text gamma text are the coefficients of linear and real end text text expansions of a vessel and liquid, then end text straight g text is end text$

$A space l i q u i d space o c c u p i e s space h a l f space o f space a space v e s s e l space a t space a space p a r t i c u l a r space t e m p e r a t u r e. space T h e space v o l u m e space o f space t h e space u n o c c u p i e d space text part remains constant at all temperatures. If end text alpha text and end text gamma text are the coefficients of linear and real end text text expansions of a vessel and liquid, then end text straight g text is end text$

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

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

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

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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

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

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

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

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

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

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

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

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

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

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

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