# ideal gas law

Considering the ideal gas law PV=nRT, what is P directly proportional to what variable? | Socratic » Pressure is directly proportional to temperature and number of moles. The ideal gas law equation looks like this PV = nRT, where P - the pressure of the gas; V - its volume; n - the number of moles of gas; R - the gas constant, usually given as 0.082("atm" * "L")/("mol" * "K") T - the temperature of the gas. In order for two variables to have a direct relationship, they must increase or decrease at the same rate. In other words, two variables are directly proportional if increasing one will cause the other to increase at the same rate. LIkewsie, decreasing one will cause the other to decrease at the same rate. To see which variables are directly proportional to pressure, isolate P on one side of the equation (P * color(red)(cancel(color(black)(V))))/color(red)(cancel(color(black)(V))) = (nRT)/V P = (nRT)/V Since R is a constant, you can say that P is proportional to P prop (nT)/V So, P is directly proportional to the product between n and T and inversely proportional to V. In other words, if n increases while Socratic.org

10.4: The Ideal Gas Equation » The empirical relationships among the volume, the temperature, the pressure, and the amount of a gas can be combined into the ideal gas law, PV = nRT. The proportionality constant, R, is called the … Chem.libretexts.org