An automobile tire is pumped up to a gauge pressure of 2.0 x 10^5 Pa when the temperature is 27 °C. What is its gauge pressure after the car has been running on a hot day so that the tire temperature is 77 °C? Assume that the volume remains fixed and take atmospheric pressure to be 1.013 x 10^5 Pa.
A) 1.6 x 10^5 Pa
B) 2.5 x 10^5 Pa
C) 3.6 x 10^5 Pa
D) 5.9 x 10^5 Pa
E) 7.9 x 10^5 Pa