An ideal mono-atomic gas of given mass is hea | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The heat supplied at constant pressure is given by $\Delta Q = n C_p \Delta T$.The increase in internal energy is given by $\Delta U = n C_v \Delt

Vedclass · Accepted Answer

$3/5$

Vedclass · Answer

(B) The heat supplied at constant pressure is given by $\Delta Q = n C_p \Delta T$.The increase in internal energy is given by $\Delta U = n C_v \Delta T$.The fraction of heat energy used to increase internal energy is $f = \frac{\Delta U}{\Delta Q} = \frac{n C_v \Delta T}{n C_p \Delta T} = \frac{C_v}{C_p}$.We know that the ratio of specific heats is $\gamma = \frac{C_p}{C_v}$, so $\frac{C_v}{C_p} = \frac{1}{\gamma}$.For a mono-atomic gas, the adiabatic index is $\gamma = 5/3$.Therefore, the fraction is $f = \frac{1}{5/3} = 3/5$.

An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas is

Similar Questions

What is the correct relationship between molar specific heat at constant pressure $(C_P)$ and constant volume $(C_V)$? ($R$ is the universal gas constant)

The amount of heat energy required to raise the temperature of $1 \ g$ of helium from $T_1 \ K$ to $T_2 \ K$ at $NTP$ is ........

The specific heat relation for an ideal gas is:

The values of $C_P$ and $C_V$ for a gas were measured by three different students. The unit is $\text{cal/g mol-K}$. Which set is the most reliable?

The molar specific heat of an ideal gas at constant pressure and constant volume is $C_{p}$ and $C_{v}$ respectively. If $R$ is the universal gas constant and $\gamma = \frac{C_p}{C_v}$,then $C_v =$

Vedclass Test Series

Exam Paper Generator

Online Exam Module