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...

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.