(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

Difficult

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

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States of Matter

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Ideal gas equation and Related gas laws

$A$ gas at a pressure of $2 \ atm$ is heated from $25^{\circ} C$ to $323^{\circ} C$ and simultaneously compressed to $\frac{2}{3}$ of its original volume. What is the final pressure (in $atm$)?

MediumKCET 2023

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At $21\, ^oC$ temperature,the volume of $212\, g$ of $O_2$ gas is $34\, dm^3$. If the pressure of the gas becomes $1.24\, bar$,then how many grams of $O_2$ gas are left in the container? $(R = 0.083\, dm^3\, bar\, K^{-1}\, mol^{-1})$

Medium

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When does $Z = 1$ occur?

Easy

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For an ideal gas,the value of ${\left( {\frac{{dU}}{{dV}}} \right)_T}$ is ...... .

Easy

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If the volume of a gas is $V \ L$ at $P \ atm$ pressure and $27 \ ^oC$ temperature,what will be the volume of the gas at $-173 \ ^oC$ temperature and $P \ atm$ pressure if the amount of gas is doubled?

Difficult

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$A$ gas at a pressure of $2 \ atm$ is heated from $25^{\circ} C$ to $323^{\circ} C$ and simultaneously compressed to $\frac{2}{3}$ of its original volume. What is the final pressure (in $atm$)?

At $21\, ^oC$ temperature,the volume of $212\, g$ of $O_2$ gas is $34\, dm^3$. If the pressure of the gas becomes $1.24\, bar$,then how many grams of $O_2$ gas are left in the container? $(R = 0.083\, dm^3\, bar\, K^{-1}\, mol^{-1})$

When does $Z = 1$ occur?

For an ideal gas,the value of ${\left( {\frac{{dU}}{{dV}}} \right)_T}$ is ...... .

If the volume of a gas is $V \ L$ at $P \ atm$ pressure and $27 \ ^oC$ temperature,what will be the volume of the gas at $-173 \ ^oC$ temperature and $P \ atm$ pressure if the amount of gas is doubled?

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