(B) For an ideal gas,the change in internal energy is given by $\Delta U = n \times C_v \times \Delta T$. Given $n = 5 \, mol$,$C_v = 28 \, J \, K^{-1

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$\Delta U = 14 \, kJ ; \Delta (pV) = 4 \, kJ$

(B) For an ideal gas,the change in internal energy is given by $\Delta U = n \times C_v \times \Delta T$. Given $n = 5 \, mol$,$C_v = 28 \, J \, K^{-1} \, mol^{-1}$,and $\Delta T = 200 \, K - 100 \, K = 100 \, K$. $\Delta U = 5 \times 28 \times 100 = 14000 \, J = 14 \, kJ$. For an ideal gas,$\Delta (pV) = nR\Delta T$. Given $R = 8.0 \, J \, K^{-1} \, mol^{-1}$. $\Delta (pV) = 5 \times 8 \times 100 = 4000 \, J = 4 \, kJ$.

Class 11 Chemistry Thermodynamics Mix Examples-Thermodynamics and Thermochemistry

Difficult

$5 \, mol$ of an ideal gas at $100 \, K$ are allowed to undergo reversible compression till its temperature becomes $200 \, K$. If $C_v = 28 \, J \, K^{-1} \, mol^{-1}$,calculate $\Delta U$ and $\Delta pV$ for this process. $(R = 8.0 \, J \, K^{-1} \, mol^{-1})$

JEE MAIN 2019 All JEE MAIN

A
$\Delta U = 2.8 \, kJ ; \Delta (pV) = 0.8 \, kJ$
B
$\Delta U = 14 \, kJ ; \Delta (pV) = 4 \, kJ$
C
$\Delta U = 14 \, kJ ; \Delta (pV) = 18 \, kJ$
D
$\Delta U = 14 \, kJ ; \Delta (pV) = 0.8 \, J$

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$5 \, mol$ of an ideal gas at $100 \, K$ are allowed to undergo reversible compression till its temperature becomes $200 \, K$. If $C_v = 28 \, J \, K^{-1} \, mol^{-1}$,calculate $\Delta U$ and $\Delta pV$ for this process. $(R = 8.0 \, J \, K^{-1} \, mol^{-1})$

Similar Questions

Which graph represents an exothermic reaction?

For the reaction $H_{2}O_{(l)} \rightleftharpoons H_{2}O_{(g)}$ at $373 \ K$ and $1 \ atm$ pressure:

One mole of Argon is heated using $PV^{5/2} = \text{constant}$. By what amount is heat absorbed during the process,when the temperature changes by $\Delta T = 26 \ K$ (in $J$)? (Take $R = 8.314 \ J \ mol^{-1} K^{-1}$)

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