If the work done during the isothermal revers | vedclass

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

Question

(B) For an isothermal reversible expansion of an ideal gas,the work done $(w)$ is given by the formula: $w = -2.303 \ nRT \ \log(\frac{V_f}{V_i})$.Sin

Vedclass · Accepted Answer

$400$

Vedclass · Answer

(B) For an isothermal reversible expansion of an ideal gas,the work done $(w)$ is given by the formula: $w = -2.303 \ nRT \ \log(\frac{V_f}{V_i})$.Since $PV = nRT$,we can substitute $nRT$ with $P_i V_i$ (initial state):$w = -2.303 \ P_i V_i \ \log(\frac{V_f}{V_i})$.Given: $w = -184.24 \ L \ atm$,$P_i = 10 \ atm$,$V_i = 4 \ L$.Substituting the values:$-184.24 = -2.303 	imes (10 	imes 4) 	imes \log(\frac{V_f}{4})$.$-184.24 = -2.303 	imes 40 	imes \log(\frac{V_f}{4})$.$-184.24 = -92.12 	imes \log(\frac{V_f}{4})$.$\log(\frac{V_f}{4}) = \frac{-184.24}{-92.12} = 2$.$\frac{V_f}{4} = 10^2 = 100$.$V_f = 100 	imes 4 = 400 \ L$.

If the work done during the isothermal reversible expansion of an ideal gas at a pressure of $10 \ atm$ from $4 \ L$ to a final volume is $-184.24 \ L \ atm$,the final volume of the gas in $L$ is

Similar Questions

In an endothermic reaction,the value of $\Delta H$ is

Identify the false statement among the following.

For the following reaction,the relation between $\Delta H$ and $\Delta U$ is:
$2 SO_{2(g)} + O_{2(g)} \rightarrow 2 SO_{3(g)}$

Expansion of a gas in vacuum is called free expansion. Calculate the work done and the change in internal energy when $1 \ L$ of ideal gas expands isothermally into vacuum until its total volume is $5 \ L$?

In an irreversible expansion of a gas,the work done by the gas is given by.....

Vedclass Test Series

Exam Paper Generator

Online Exam Module