Question 255: Thermodynamics & KTG

Question

Two vessels $$A$$ and $$B$$ are of the same size and are at same temperature. A contains $$1 \mathrm{~g}$$ of hydrogen and $$B$$ contains $$1 \mathrm{~g}$$ of oxygen. $$\mathrm{P}_{\mathrm{A}}$$ and $$\mathrm{P}_{\mathrm{B}}$$ are the pressures of the gases in $$\mathrm{A}$$ and $$\mathrm{B}$$ respectively, then $$\frac{P_A}{P_B}$$ is:

Accepted Answer

$$\begin{aligned}
& \frac{\mathrm{P}_{\mathrm{A}} \mathrm{V}_{\mathrm{A}}}{\mathrm{P}_{\mathrm{B}} \mathrm{V}_{\mathrm{B}}}=\frac{\mathrm{n}_{\mathrm{A}} R T_{\mathrm{A}}}{\mathrm{n}_{\mathrm{B}} \mathrm{RT}_{\mathrm{B}}} \
& 	ext { Given } \mathrm{V}_{\mathrm{A}}=\mathrm{V}_{\mathrm{B}} \
& 	ext { And } \mathrm{T}_{\mathrm{A}}=\mathrm{T}_{\mathrm{B}} \
& \frac{\mathrm{P}_{\mathrm{A}}}{\mathrm{P}_{\mathrm{B}}}=\frac{\mathrm{n}_{\mathrm{A}}}{\mathrm{n}_{\mathrm{B}}} \
& \frac{\mathrm{P}_{\mathrm{A}}}{\mathrm{P}_{\mathrm{B}}}=\frac{1 / 2}{1 / 32}=16
\end{aligned}$$

Answer

4

Answer

32

Answer

8

Answer

16

Thermodynamics & KTG

Two vessels $A and B are of the same size and are at same temperature. A contains 1 \mathrm{~g} of hydrogen and B contains 1 \mathrm{~g} of oxygen. \mathrm{P}_{\mathrm{A}} and \mathrm{P}_{\mathrm{B}} are the pressures of the gases in \mathrm{A} and \mathrm{B} respectively, then \frac{P_A}{P_B}$ is:

Choose the correct answer: