A compressor takes 0.50m^3 of a gas at 33^circ C and 760 mm Hg and compresses it to 0.10m^3 cooling it to -55^circ C at the same time What is the pressure of the gas at these new conditions? 2,700 mm Hg 68 mm Hg 1.0 mm Hg 3.7times 10^-4 mm Hg

To find the pressure of the gas at the new conditions, we can use the combined gas law, which relates the initial and final states of a gas: where:- is the initial pressure (760 mm Hg),- is the initial volume (0.50 m³),- is the initial temperature in Kelvin,- is the final pressure (unknown),- is the final volume (0.10 m³),- is the final temperature in Kelvin.First, convert the temperatures from Celsius to Kelvin:- Initial temperature: - Final temperature: Now, plug the known values into the combined gas law equation: Solve for : Calculate: Rounding to the nearest whole number, the pressure of the gas at the new conditions is approximately 2709 mm Hg. The closest answer choice is:2,700 mm Hg