1. The gas inside a balloon exerts a pressure of 3atm at
298 K. What is the temperature required to increase
the pressure to 5 atm?

497 K

Explanation:

Assuming that the volume of the balloon (and so, the gas) remains constant, we can solve the problem by using the pressure's Law:

"When a constant mass of an ideal gas is kept at constant volume, the pressure of the gas is directly proportional to its absolute temperature"

Mathematically:

where

p is the pressure of the gas

T is the absolute temperature

The equation can also be rewritten as

where:

is the initial pressure of the gas

is the initial temperature of the gas

is the final pressure of the gas

Solving for T2, we find the final temperature:

beta decay is the answer