The heat energy required to raise the tempera | vedclass

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

Question

(C) At constant pressure,the heat energy required is given by:$Q_{p} = \mu C_{p} \Delta T = 600 \, J$ (given),where $\mu$ is the number of moles of th

Vedclass · Accepted Answer

$392.25$

Vedclass · Answer

(C) At constant pressure,the heat energy required is given by:$Q_{p} = \mu C_{p} \Delta T = 600 \, J$ (given),where $\mu$ is the number of moles of the ideal gas.At constant volume,the heat energy required is:$Q_{v} = \mu C_{v} \Delta T = \mu (C_{p} - R) \Delta T$Since $C_{p} - C_{v} = R$,we can rewrite this as:$Q_{v} = \mu C_{p} \Delta T - \mu R \Delta T$Substituting the given values:$Q_{v} = 600 - (5 	imes 8.3 	imes 5)$$Q_{v} = 600 - 207.5 = 392.5 \, J$.(Note: Using $R = 8.3$,the result is $392.5 \, J$. If $R = 8.31$ is used,the result is $392.25 \, J$. Given the options,$392.25 \, J$ is the intended answer).

The heat energy required to raise the temperature of $5 \, moles$ of an ideal gas by $5 \, K$ at constant pressure is $600 \, J$. How much heat (in $J$) is required to raise the same mass of the same gas by $5 \, K$ at constant volume? (Take $R = 8.3 \, J/mol \cdot K$)

Similar Questions

When $5 \ mol$ of oxygen gas is heated at constant volume from $10^{\circ}C$ to $20^{\circ}C$,the change in internal energy is ........ $cal$. (Given: $C_P = 8 \ cal/mol \cdot K$,$R = 2 \ cal/mol \cdot K$)

If $C_p$ and $C_v$ denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively,then

One mole of an ideal monatomic gas requires $210 \, J$ of heat to raise the temperature by $10 \, K$ when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by $10 \, K$,then the heat required is ....... $J$.

The molar specific heat of a monoatomic gas at constant pressure is (Universal gas constant $R = 8.3 \,J \,mol^{-1} \,K^{-1}$)

Which of the following statements is correct regarding the molar specific heat of $1$ mole of an ideal gas at constant pressure $(C_P)$ and constant volume $(C_V)$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module