To find the new volume of the gas at 75 kPa, you can use Boyle's Law, which states that ( P_1 V_1 = P_2 V_2 ). Here, ( P_1 = 194 ) kPa, ( V_1 = 67 ) L, and ( P_2 = 75 ) kPa. Rearranging the equation to solve for ( V_2 ) gives:
[ V_2 = \frac{P_1 V_1}{P_2} = \frac{194 , \text{kPa} \times 67 , \text{L}}{75 , \text{kPa}} \approx 173.33 , \text{L}. ]
Thus, the volume of the gas at 75 kPa would be approximately 173.33 L.
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