(C) Since the number of moles of gas remains constant,we use the combined gas law: $\frac{P_i V_i}{T_i} = \frac{P_f V_f}{T_f}$.Given:$P_i = 3.21 \time

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(C) Since the number of moles of gas remains constant,we use the combined gas law: $\frac{P_i V_i}{T_i} = \frac{P_f V_f}{T_f}$.Given:$P_i = 3.21 \times 10^5 \ Pa$$T_i = -5.0 \ ^\circ C = 268.15 \ K$$T_f = 28 \ ^\circ C = 301.15 \ K$$V_f = V_i + 0.03 V_i = 1.03 V_i$Rearranging for $P_f$:$P_f = P_i \times \frac{V_i}{V_f} \times \frac{T_f}{T_i}$Substituting the values:$P_f = 3.21 \times 10^5 \ Pa \times \frac{1}{1.03} \times \frac{301.15}{268.15}$$P_f \approx 3.50 \times 10^5 \ Pa$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

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Starting out on a trip into the mountains,you inflate the tires on your automobile to a recommended pressure of $3.21 \times 10^5 \ Pa$ on a day when the temperature is $-5.0 \ ^\circ C$. You drive to the beach,where the temperature is $28 \ ^\circ C$. Assume that the volume increased by $3 \%$. What is the final pressure in the tires?

A
$350 \ Pa$
B
$3500 \ Pa$
C
$3.5 \times 10^5 \ Pa$
D
None of these

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Class 11 Questions

Class 11

Chemistry Questions

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States of Matter

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Ideal gas equation and Related gas laws

$A$ glass vessel weighs $50.0 \, g$ when empty. When filled with a liquid of density $0.98 \, g \cdot mL^{-1}$,it weighs $148.0 \, g$. When filled with an ideal gas at $760 \, mm$ of $Hg$ pressure and $300 \, K$ temperature,it weighs $50.5 \, g$. Calculate the molar mass of the gas in $u$.

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The densities of $2$ gases are in the ratio $1:2$ and their temperatures are in the ratio $2:1$. What is the ratio of their respective pressures?

Medium

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For an ideal gas,the compressibility factor $(Z)$ is

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Five grams each of the following gases at $87 \, ^{\circ}C$ and $750 \, mm$ pressure are taken. Which of them will have the least volume?

Easy

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$A$ gas occupies a volume of $300 \ mL$ at $27 \ ^oC$ temperature and $730 \ mm$ pressure. What will be its volume at $STP$ in $mL$ (in $.2$)?

Medium

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$A$ glass vessel weighs $50.0 \, g$ when empty. When filled with a liquid of density $0.98 \, g \cdot mL^{-1}$,it weighs $148.0 \, g$. When filled with an ideal gas at $760 \, mm$ of $Hg$ pressure and $300 \, K$ temperature,it weighs $50.5 \, g$. Calculate the molar mass of the gas in $u$.

The densities of $2$ gases are in the ratio $1:2$ and their temperatures are in the ratio $2:1$. What is the ratio of their respective pressures?

For an ideal gas,the compressibility factor $(Z)$ is

Five grams each of the following gases at $87 \, ^{\circ}C$ and $750 \, mm$ pressure are taken. Which of them will have the least volume?

$A$ gas occupies a volume of $300 \ mL$ at $27 \ ^oC$ temperature and $730 \ mm$ pressure. What will be its volume at $STP$ in $mL$ (in $.2$)?

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