Could you please solve all five questions?

6. A vessel has a volume of 0.75m3 and contains a mixture of air and carbon dioxide at a pressure of 200kPa and a temperature of 27C. If the mass of air present is 0.5kg determine (a) the partial pressure of each gas, and (b) the mass of carbon dioxide. Assume the characteristic gas constant for air to be 287J/(kgK) and for carbon dioxide 184J/(kgK). 7. A mass of gas occupies a volume of 0.02m3 when its pressure is 150kPa and its temperature is 17C. If the gas is compressed until its pressure is 500kPa and its temperature is 57C, determine (a) the volume it will occupy and (b) its mass, if the characteristic gas constant for the gas is 205J/(kgK). 8. Calculate the heat energy required to convert 10kg of ice initially at 30C completely into water at 0C. Assume the specific heat capacity of ice is 2.1kJ/(kgC) and the specific latent heat of fusion of ice is 335kJ/kg. 9. Some copper, having a mass of 20kg, cools from a temperature of 120C to 70C. If the specific heat capacity of copper is 390J/(kgC), how much heat energy is lost by the copper? 10. A platinum resistance thermometer has a resistance of 100 at 0C. When measuring the temperature of a heat process a resistance value of 177 is measured using a Wheatstone bridge. Given that the temperature coefficient of resistance of platinum is 0.0038/C, determine the temperature of the heat process, correct to the nearest degree