The pressure of a given mass of gas changes from 200 Nm2 to 100 N m2, while its temperature drops from 127oC to - 73oC. Calculate the radio of the final vol...
Question 1 Report
The pressure of a given mass of gas changes from 200 Nm2 to 100 N m2, while its temperature drops from 127oC to - 73oC. Calculate the radio of the final volume of the gas to its initial volume.
Answer Details
To solve this problem, we need to use the combined gas law which states that PV/T = constant, where P is pressure, V is volume, and T is temperature. We can write: P1V1/T1 = P2V2/T2 where subscripts 1 and 2 refer to the initial and final conditions of the gas, respectively. We can rearrange this equation to solve for the final volume V2: V2 = (P1V1T2)/(P2T1) Substituting the given values, we get: V2 = (200 Nm2)(1 m3)/(100 Nm2)(400 K) = 0.5 m3 Therefore, the ratio of the final volume to the initial volume is: V2/V1 = 0.5 m3/1 m3 = 0.5:1 So the answer is option D: 1.0:1.
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