Identify the given initial pressure and temperatures.

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ScanSolve AI Tutor · Accepted Answer

To calculate the pressure exerted by the gas:

Identify the given initial pressure and temperatures.
$P_1 = 50 \text{ mmHg}$ $T_1 = 27^\circ\text{C}$ $T_2 = 90^\circ\text{C}$
Convert the temperatures from Celsius to Kelvin.
$T_1 = 27^\circ\text{C} + 273 = 300 \text{ K}$ $T_2 = 90^\circ\text{C} + 273 = 363 \text{ K}$
Since the volume is maintained at constant, use the Pressure Law (Gay-Lussac's Law), which states that $\frac{P_1}{T_1} = \frac{P_2}{T_2}$ .
Rearrange the formula to solve for $P_2$ .
$P_2 = P_1 \times \frac{T_2}{T_1}$
Substitute the values and calculate the final pressure.
$P_2 = 50 \text{ mmHg} \times \frac{363 \text{ K}}{300 \text{ K}}$ $P_2 = 50 \times 1.21 \text{ mmHg}$ $P_2 = 60.5 \text{ mmHg}$
The pressure exerted by the gas is $\text{60.5 mmHg}$ .

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