A fixed amount of an ideal gas is initially at a temperature of 25 °C. To what temperature you need to cool it down after you compress it to half of its volume if you want to keep the pressure constant? Give your answer in units of [Kelvin]

An ideal gas at 14.7 °C and a pressure of 2.92 x 105 Pa occupies a volume of 3.40 m³. (a) How many moles of gas are present? (b) If the volume is raised to 5.33 m³ and the temperature raised to 31.0 °C, what will be the pressure of the gas? (a) Number Units (b) Number Units

A metal rod had a coefficient of linear expansion α = 1.5 x 10-5 1/K. It has a starting length of 210 cm. When the temperature changes from 25 °C to 55 °C, by how much does the length of the rod change, in cm?

A shipment from Earth to Mars contains a 50 gallon​ [gal] tank filled with an ideal gas. The molecular weight of the ideal gas is 15.9 grams per mole​ [g/mol]. NASA tells the astronauts on Mars that the tank and gas combined had an initial total mass of 5 kilograms​ [kg] and the pressure was 3 atmospheres​ [atm] before it left the Earth. During the​ trip, the temperature was kept constant at 20 degrees Celsius ​[°​C]. When it arrives on​ Mars, the astronauts check the sensors and discover the pressure is 2.2 atmospheres​ [atm] and the temperature is 20 degrees Celsius ​[°​C]. Based on this​ information, the astronauts determine that some of the gas leaked during shipment. Determine how much gas leaked from the tank in units of grams​ [g]. Gravity on Mars​ = 3.71 meters per second squared​[m/s2​].