help@askiitians.com

+91-87964 74404

Grade 12Thermal Physics

The process CD is shown in the diagram. As system is taken from C to D, what happens to the temperature of the system?

Question image for The process CD is shown in the diagram. As system

Rushil

7 Years agoGrade 12

1 Answer

Ashwani Dubey

7 Years ago

Solution:- The temperature will decrease first the will increase.

From ideal gas law,

$PV = nRT \\ \Rightarrow T = \frac{PV}{nR} \\ \text{Let P be the mid point on CD}. \\ \text{At point C}- \\ P = 3 {p}_{0} \\ V = {v}_{0} \\ \therefore {T}_{C} = \cfrac{3{p}_{0} {v}_{0}}{nR} ..... \left( 1 \right) \\ \text{At mid-point P}- \\ P = \cfrac{{p}_{0} + 3 {p}_{0}}{2} = 2 {p}_{0} \\ V = \cfrac{{v}_{0} + 3 {v}_{0}}{2} = 2 {v}_{0} \\ \therefore {T}_{P} = \cfrac{4 {p}_{0} {v}_{0}}{nR} ..... \left( 2 \right) \\ \text{At point D}- \\ P = {p}_{0} \\ V = 3 {v}_{0} \\ \therefore {T}_{D} = \cfrac{3 {p}_{0} {v}_{0}}{nR} ..... \left( 3 \right) \\ \text{Now from } {eq}^{n} \left( 1 \right), \left( 2 \right) \& \left( 3 \right),\text{ we have} \\ {T}_{C} < {T}_{P} > {T}_{D} \\$

Hence the temperature will first decrease and then increases.

A container filled with a sample of an Idea gas at the pressure of 1.5atm. the gas is compressed isothermal ly to one fourth of its original volume. What is the new pressure of the gas?

thermal physics

1 Answer Available

Last Activity: 3 Years ago

how do we know the electric field due to an electric dipole of dipole moment P at distance r from the centre of dipole is fiven by .. where theta is angle between p amd r vector..

thermal physics

1 Answer Available

Last Activity: 4 Years ago

A A mole of helium gas initially at stp undergoes an isovolumetric process in which its pressure falls to half its initial value. The work done by gas is

thermal physics

1 Answer Available

Last Activity: 4 Years ago

5000 J of heat are added to two moles of an ideal monatomic gas, initially at a temperature of 500 K, while the gas performs 7500 J of work. What is the final temperature of the gas? step by step please

thermal physics

1 Answer Available

Last Activity: 4 Years ago

Please help me with the answer of this question related to radiation graph

thermal physics

1 Answer Available

Last Activity: 4 Years ago

View all Questions