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The pressure on 100cm\(^2\) of oxygen gas at 35°C is 750mm of Hg. What would be...


Question

The pressure on 100cm\(^2\) of oxygen gas at 35°C is 750mm of Hg. What would be the volume of the gas if the pressure is increased to 1000mm of Hg without changing the temperature?

Options

A) 133.3cm\(^3\)

B) 85cm\(^3\)

C) 75cm\(^3\)

D) 65cm\(^3\)

E) 58cm\(^3\)


The correct answer is C.

Explanation:

\(V_1 = 100\)cm\(^3\), \(T_1 = 35^{\circ}\)C, \(P_1 = 750\)mm, \(P_2 = 100\)mmHg
\(\cfrac{P_1V_1}{T_1} = \cfrac{P_2V_2}{T_2}\) at constant temperature
\(P_1V_1 = P_2V_2\)
\(\therefore\) \(V_2 = \cfrac{P_1V_1}{T_2}\)
\(V_2 = \cfrac{750 \times 10}{1000} = 75\)cm\(^3\)

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Dicussion (1)

  • \(V_1 = 100\)cm\(^3\), \(T_1 = 35^{\circ}\)C, \(P_1 = 750\)mm, \(P_2 = 100\)mmHg
    \(\cfrac{P_1V_1}{T_1} = \cfrac{P_2V_2}{T_2}\) at constant temperature
    \(P_1V_1 = P_2V_2\)
    \(\therefore\) \(V_2 = \cfrac{P_1V_1}{T_2}\)
    \(V_2 = \cfrac{750 \times 10}{1000} = 75\)cm\(^3\)

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