Question

would the pressure exerted by the gas in the tank would increase if the scuba tank were to increase in temperature?

Answer 1

In fact, a full scuba tank will gain about 5-6 psi for every degree of temperature increase. This is one reason that full tanks should not be left in a hot trunk of a car. A tank filled to 3000 psi could easily reach 3500 psi if the temperature of it increased substantially.