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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$$^3$$

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$$^3$$

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$$^3$$