a) The vacuum in the headspace of a can of food is normally formed by "hot fill" exhausting - that is, the cans are closed when the can is filled with product at a temperature of 85°C. However, a batch is inadvertently closed with the product temperature only 50°C. What will be the vacuum (negative gauge pressure) in these cans when they cool to room temperature (25°C)?

b) The gauge on a gas storage cylinder, containing 200 kg of gas, indicates a pressure of 1 MPa at 20°C. How may kilograms of gas remain if the pressure gauge shows 600 kPa when the temperature is 30°C?