Refer to the image to answer # 7 and 8:

7. From chemistry, you may recall that the ideal gas law states that for n moles of an ideal gas, PV = nRT where R = 0.082, and P, V, and T\" are the pressure (in atmospheres), volume (in liters), and temperature (in kelvins), respectively. Suppose you have one mole of an ideal gas, so that its volume is _ 0.0827" V P Suppose the current pressure is 1 atm, and the current temperature is 300 K. Use a linear approximation to estimate how much the volume of the gas will change if the pressure increases by 0.1 atm and the temperature increases by 3 K. 8. The force of gravity exerted on Earth by the Moon is responsible for many phenomena that have a significant impact on biological systems, such as the level and frequency of high and low tides. This force is M HM, R) = 398600? where M is the mass of the Moon and R is its distance from Earth. Currently, M = 73480 X 1013 kg and R = 384400 km (on average), and these haven't changed much in several million years. But suppose an asteroid of mass 250 x 1018 kg collides with the Moon, causing its mass to increase by that amount and shifting the Moon's orbit so that it is 400 km closer to Earth! Using a linear approximation to estimate how much the Moon's gravitational pull on Earth will change