A container holds 1 mole of O_2 (molar mass 3 | vedclass

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

Question

(C) The ideal gas equation is given by $PV = nRT$,where $P$ is pressure,$V$ is volume,$n$ is the number of moles,$R$ is the universal gas constant,and

Vedclass · Accepted Answer

$2P$

Vedclass · Answer

(C) The ideal gas equation is given by $PV = nRT$,where $P$ is pressure,$V$ is volume,$n$ is the number of moles,$R$ is the universal gas constant,and $T$ is the absolute temperature.For the first container: $P_1 V_1 = n_1 R T_1$. Given $n_1 = 1$,$T_1 = T$,and $P_1 = P$,we have $PV = RT$ (Equation $1$).For the second container: $P_2 V_2 = n_2 R T_2$. Given $n_2 = 1$,$T_2 = 2T$,and the containers are identical,so $V_2 = V_1 = V$.Substituting these values: $P_2 V = (1) R (2T) = 2RT$ (Equation $2$).Dividing Equation $2$ by Equation $1$: $\frac{P_2 V}{PV} = \frac{2RT}{RT}$.This simplifies to $\frac{P_2}{P} = 2$,which gives $P_2 = 2P$.

$A$ container holds $1$ mole of $O_2$ (molar mass $32$) at temperature $T$. The pressure is $P$. Another identical container holds $1$ mole of $He$ (molar mass $4$) at temperature $2T$. Find the pressure in the second container.

Similar Questions

The pressure $P$,volume $V$,and temperature $T$ of a gas in jar $A$ are given. The gas in another jar $B$ is at pressure $2P$,volume $V/4$,and temperature $T/4$. What is the ratio of the number of molecules in jar $A$ to jar $B$?

The mass of oxygen gas occupying a volume of $11.2 \text{ litres}$ at a temperature $27^{\circ}C$ and a pressure of $760 \text{ mm}$ of mercury in kilograms is $[$ Molecular weight of oxygen $= 32]$

One litre of Helium gas at a pressure $76 \ cm$ of $Hg$ and temperature ${27}^\circ C$ is heated until its pressure and volume are doubled. The final temperature attained by the gas is ..... $^\circ C$

$A$ pressure $P-$absolute temperature $T$ diagram was obtained when a given mass of gas was heated. During the heating process from state $1$ to state $2$,the volume:

Vedclass Test Series

Exam Paper Generator

Online Exam Module