A container having 1 mol of a gas at a tempe | vedclass

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

Question

(B) For an ideal gas at constant pressure,the work done $W$ is given by the formula $W = P \Delta V$.Using the ideal gas equation $PV = nRT$,at consta

Vedclass · Accepted Answer

$831$

Vedclass · Answer

(B) For an ideal gas at constant pressure,the work done $W$ is given by the formula $W = P \Delta V$.Using the ideal gas equation $PV = nRT$,at constant pressure $P$,we have $P \Delta V = nR \Delta T$.Given:Number of moles $n = 1 \ mol$.Initial temperature $T_1 = 27 \ ^oC = 27 + 273 = 300 \ K$.Final temperature $T_2 = 127 \ ^oC = 127 + 273 = 400 \ K$.Change in temperature $\Delta T = T_2 - T_1 = 400 \ K - 300 \ K = 100 \ K$.Universal gas constant $R = 8.31 \ J/mol-K$.Substituting the values into the work formula:$W = nR \Delta T = 1 	imes 8.31 	imes 100 = 831 \ J$.Thus,the work done is $831 \ J$.

$A$ container having $1 \ mol$ of a gas at a temperature of $27 \ ^oC$ has a movable piston which maintains a constant pressure of $1 \ atm$ in the container. The gas is compressed until the temperature becomes $127 \ ^oC$. The work done is ........ $J$ $(R = 8.31 \ J/mol-K)$.

Similar Questions

$A$ gas expands by $0.25 \ m^{3}$ at a constant pressure of $10^{3} \ N/m^{2}$. Calculate the work done.

The state of a thermodynamic system changes from $(1)$ $(P_1, V)$ to $(2P_1, V)$ and $(2)$ $(P, V_1)$ to $(P, 2V_1)$. The work done during these two processes is respectively:

Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process $1-2$ is

In an isochoric process,if $t_1 = 27^{\circ}C$ and $t_2 = 127^{\circ}C$,then $\frac{P_1}{P_2}$ will be equal to [$P_1$ and $P_2$ are the pressures at $t_1^{\circ}C$ and $t_2^{\circ}C$ respectively].

At constant pressure,what fraction of the heat supplied to an ideal gas is converted into mechanical work?

Vedclass Test Series

Exam Paper Generator

Online Exam Module