Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Physics

Heat

Easy

Question

If the ratio of specific heat of a gas at constant pressure to that at constant volume is $gamma$ , the change i n internal energy of the mass of gas , when the volume changes from V to 2V at constant pressure p , is

$\frac{R}{(γ - 1)}$
$p V$
$\frac{p V}{(γ - 1)}$
$\frac{γ p V}{(γ - 1)}$

The correct answer is: $fraction numerator p V over denominator left parenthesis gamma minus 1 right parenthesis end fraction$

$straight capital delta U equals n C subscript nu straight capital delta T text Also, end text C subscript p over C subscript v equals gamma. text Hence end text fraction numerator C subscript p minus C subscript v over denominator C subscript v end fraction equals gamma minus 1 text This is end text C subscript V equals fraction numerator R over denominator left parenthesis gamma minus 1 right parenthesis end fraction text This gives end text straight capital delta U equals fraction numerator n R over denominator gamma minus 1 end fraction straight capital delta T equals fraction numerator p straight capital delta V over denominator gamma minus 1 end fraction equals fraction numerator p left parenthesis 2 V minus V right parenthesis over denominator gamma minus 1 end fraction equals fraction numerator p to the power of V over denominator gamma minus 1 end fraction$

Related Questions to study

One mole of an idea l gas at a temperature T₁K expands slowly according to the law $p over V equals text constant. end text$ Its final temperature is T₂K . The work done by the gas is

One mole of an idea l gas at a temperature T₁K expands slowly according to the law $p over V equals text constant. end text$ Its final temperature is T₂K . The work done by the gas is

Initial volume of three samples of same gas A,B and C are same. The process A is adiabatic, B is isobaric and C is isothermal. Each of the sample has same final pressure and volume. The initial pressure of which sample was maximum.

Initial volume of three samples of same gas A,B and C are same. The process A is adiabatic, B is isobaric and C is isothermal. Each of the sample has same final pressure and volume. The initial pressure of which sample was maximum.

In an adiabatic process $R equals 2 over 3 C subscript v$ . The pressure of the gas Will be proportional to :

In an adiabatic process $R equals 2 over 3 C subscript v$ . The pressure of the gas Will be proportional to :

parallel

p- V diagram of a diatomic gas is a straight line passing through origin . The molar heat capacity of the gas in the process wilI be :

p- V diagram of a diatomic gas is a straight line passing through origin . The molar heat capacity of the gas in the process wilI be :

During adiabatic process pressure P versus density $rho$ equation is:

During adiabatic process pressure P versus density $rho$ equation is:

An ideal gas A and b have their volumes, increased from V to 2V isothermal conditions. The increase in internal energy

An ideal gas A and b have their volumes, increased from V to 2V isothermal conditions. The increase in internal energy

parallel

A monoatomic gas is supplied heat Q very slowly keeping the pressure constant. The work done by the gas is

A monoatomic gas is supplied heat Q very slowly keeping the pressure constant. The work done by the gas is

1g mole of an ideal gas at STP is subjected to a reversible adiabatic expansion to double its volume. Find the change in internal energy $left parenthesis gamma equals 1.4 right parenthesis$

1g mole of an ideal gas at STP is subjected to a reversible adiabatic expansion to double its volume. Find the change in internal energy $left parenthesis gamma equals 1.4 right parenthesis$

A gas mixture of 2 moles of oxygen and a 4 mole of Ar at temperature T. Neglecting all vibrations modes, the total internal energy of the system is

A gas mixture of 2 moles of oxygen and a 4 mole of Ar at temperature T. Neglecting all vibrations modes, the total internal energy of the system is

parallel

A gas undergoes a cyclic process ABCDA as shown in the figure. The part ABC of process is semi-circular. The work done by the gas is:

A gas undergoes a cyclic process ABCDA as shown in the figure. The part ABC of process is semi-circular. The work done by the gas is:

Q cal of heat is required to raise the temperature of 1mole of a monatomic gas from 20°C to 30°C at constant pressure. The amount of heat required to raise the temperature of 1 mole of diatomic gas from 20°C to 25°C at constant pressure is:

Q cal of heat is required to raise the temperature of 1mole of a monatomic gas from 20°C to 30°C at constant pressure. The amount of heat required to raise the temperature of 1 mole of diatomic gas from 20°C to 25°C at constant pressure is:

When an ideal monoatomic gas is heated at constant pressure, fraction of heat energy supplied which increases the internal energy of gas is

When an ideal monoatomic gas is heated at constant pressure, fraction of heat energy supplied which increases the internal energy of gas is

parallel

The ratio of work done by an idea l diatomic gas to the heat supplied by the gas in an isobaric process is

The ratio of work done by an idea l diatomic gas to the heat supplied by the gas in an isobaric process is

Helium gas is subjected to a polytropic process in which t he heat supplied to the gas is four times the work one by it. The molar heat capacity of the gas for the process is: (R is universal gas constant)

Helium gas is subjected to a polytropic process in which t he heat supplied to the gas is four times the work one by it. The molar heat capacity of the gas for the process is: (R is universal gas constant)

A n ideal gas is taken along the path AB as shown in the figure .The work done by the g as is

A n ideal gas is taken along the path AB as shown in the figure .The work done by the g as is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.