A gas is at an original pressure of 412 torr and a temperature of 79°C. What is the new temperature of the gas (in K) if the pressure changes to 341 torr?

Whenever you are doing calculations with gases and temperature, you must convert the temperature from C into Kelvin. Then, just plug in your values and do the calculation. So, for the first one,

32C + 273 = 305 K

63C + 273 = 336 K

Then, P1/T1 = P2/T2

575 torr / 305 K = P2 / 336 K

P2 = 633 torr

For the second one:

P1/T1 = P2/T2

575/305 = 5750 / T2

T2 = 3050 K