When a certain volume of gas expands against | vedclass

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

Question

(A) The formula for work done during expansion against constant external pressure is $W = -P_{ext} \Delta V = -P_{ext}(V_2 - V_1)$.Given: $P_{ext} = 2

Vedclass · Accepted Answer

$2 	imes 10^{-3} \ m^3$

Vedclass · Answer

(A) The formula for work done during expansion against constant external pressure is $W = -P_{ext} \Delta V = -P_{ext}(V_2 - V_1)$.Given: $P_{ext} = 2.40 	imes 10^5 \ Pa$,$V_2 = 2.2 	imes 10^{-3} \ m^3$,$W = -0.048 \ kJ = -48 \ J$.Substituting the values: $-48 \ J = -2.4 	imes 10^5 \ Pa 	imes (2.2 	imes 10^{-3} \ m^3 - V_1)$.Dividing both sides by $-2.4 	imes 10^5 \ Pa$: $\frac{-48}{-2.4 	imes 10^5} = 2.2 	imes 10^{-3} - V_1$.$20 	imes 10^{-5} = 2.2 	imes 10^{-3} - V_1$.$0.2 	imes 10^{-3} = 2.2 	imes 10^{-3} - V_1$.$V_1 = 2.2 	imes 10^{-3} - 0.2 	imes 10^{-3} = 2.0 	imes 10^{-3} \ m^3$.

When a certain volume of gas expands against a constant external pressure of $2.40 \times 10^5 \ Pa$ at $300 \ K$ to a final volume of $2.2 \times 10^{-3} \ m^3$. If the work obtained is $-0.048 \ kJ$,what is the initial volume of the gas?

Similar Questions

For the reaction $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$ at constant temperature and pressure,if $\Delta H$ and $\Delta U$ are the enthalpy and internal energy changes for the reaction,which of the following equations is correct?

For the combustion of sucrose $(C_{12}H_{22}O_{11})$ at $250\,^oC$,which of the following is true?

In an adiabatic expansion of an ideal gas,which of the following relations holds true?

Assertion : For a reaction $2NH_{3(g)} \to N_{2(g)} + 3H_{2(g)}$ ; $\Delta H > \Delta E$.
Reason : Enthalpy change is always greater than internal energy change.

For the reaction $N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$ at $298 \ K$,the enthalpy change $\Delta H$ is $-92.38 \ kJ$. What is the value of $\Delta U$ in $kJ$ at $298 \ K$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module