Question

If a certain amount of ideal gas occupies a volume v at stp on earth, what would be its volume (in terms of v) on venus, where the temperature is 1003°C and the pressure is 92 atm?

Answer 1

To calculate the volume of an ideal gas on Venus compared to STP on Earth, use the combined gas law to determine that the volume would be about 0.05V, which is roughly 5% of its volume at STP.

Step-by-step explanation:

To determine how much volume a certain amount of ideal gas would occupy on Venus, where the temperature is 1003°C (which is 1276 K in terms of Kelvin) and the pressure is 92 atm, we can use the combined gas law. The combined gas law states that for a fixed amount of gas, P1V1/T1 = P2V2/T2, where P is pressure, V is volume, and T is temperature.

Given that STP is defined as a temperature of 273 K and a pressure of 1 atm, we can set up the following equation:

(1 atm) * (V) / (273 K) = (92 atm) * (V2) / (1276 K)
By solving for V2, we find:

V2 = (V) * (1 atm) / (92 atm) * (1276 K) / (273 K)

So, the volume on Venus would be a fraction of the original volume V by the factor of (1/92) * (1276/273), which simplifies to approximately 0.05V. Thus, the gas would occupy about 5% of its original volume at STP on Earth.