At a c onstant t emperature, the volume of a gas is inversely proportional to its pressure. 2.8times 10^6 Pascals and a volume of 1.7times 10^-8m^3 a) What will the volume of the gas be when it s pressure is 6.4times 10^4 Pasc als ? b) Work out the pre ssure of the gas when its volume is 8.7times 10^-9m^3 Give each of your an swers in st andard

## Step1: The problem states that the volume of a gas is inversely proportional to its pressure at a constant temperature. This relationship can be expressed as , where is a constant.## Step2: We first use the given data to determine the value of . Given that the pressure Pascals and the volume m , we can substitute these values into the formula to find .### ## Step3: a) To find the volume of the gas when the pressure is Pascals, we rearrange the formula to and substitute the values of and into the formula.### m b) To find the pressure of the gas when its volume is m , we rearrange the formula to and substitute the values of and into the formula.### Pascals