A vessel has a capacity of 3 L. If it contai | vedclass

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

Question

(A) The total pressure $P$ in the vessel is given by the ideal gas equation $PV = n_{total}RT$,where $n_{total} = n_{O_2} + n_{N_2} + n_{CO_2}$.$1$. C

Vedclass · Accepted Answer

$5 	imes 10^5 \ Pa$

Vedclass · Answer

(A) The total pressure $P$ in the vessel is given by the ideal gas equation $PV = n_{total}RT$,where $n_{total} = n_{O_2} + n_{N_2} + n_{CO_2}$.$1$. Calculate the number of moles for each gas:$n_{O_2} = \frac{6 \ g}{32 \ g/mol} = 0.1875 \ mol$$n_{N_2} = \frac{8 \ g}{28 \ g/mol} \approx 0.2857 \ mol$$n_{CO_2} = \frac{5 \ g}{44 \ g/mol} \approx 0.1136 \ mol$$2$. Total moles $n_{total} = 0.1875 + 0.2857 + 0.1136 \approx 0.5868 \ mol$.$3$. Convert volume and temperature to $SI$ units:$V = 3 \ L = 3 	imes 10^{-3} \ m^3$$T = 27^{\circ}C = 300 \ K$$4$. Calculate total pressure:$P = \frac{n_{total}RT}{V} = \frac{0.5868 	imes 8.31 	imes 300}{3 	imes 10^{-3}} \approx 4.87 	imes 10^5 \ Pa \approx 5 	imes 10^5 \ Pa$.

$A$ vessel has a capacity of $3 \ L$. If it contains a mixture of $6 \ g$ of $O_2$,$8 \ g$ of $N_2$,and $5 \ g$ of $CO_2$,what will be the pressure of the vessel at a temperature of $27^{\circ}C$? (Given $R = 8.31 \ J/mol \cdot K$)

Similar Questions

If $4$ moles of an ideal monoatomic gas at temperature $400 \,K$ is mixed with $2$ moles of another ideal monoatomic gas at temperature $700 \,K$, the temperature of the mixture is:

$A$ gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$. Neglecting all vibrational modes,the total internal energy of the system is (in $RT$)

Sound travels in a mixture of $2$ moles of helium and $n$ moles of hydrogen. If the root-mean-square (rms) speed of gas molecules in the mixture is $\sqrt{2}$ times the speed of sound,then the value of $n$ will be:

Two gases $A$ and $B$ having the same pressure $P$, volume $V$, and absolute temperature $T$ are mixed. If the mixture has the volume $V$ and temperature $T$, then the pressure of the mixture is:

$A$ vessel contains $3$ moles of $He$,$1$ mole of $Ar$,$5$ moles of $N_2$,and $3$ moles of $H_2$. If the vibrational modes are ignored,the total internal energy of the system of gases is (in $RT$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module