In the vulcanization of tires, the carcass is placed into a jig, and steam at 149°C is admitted suddenly to both sides. If the tire thickness is 2.5 cm, the initial temperature is 21°C, the heat transfer coefficient between the tire and the steam is 150 W/(m2 K), and the specific heat of the rubber is 1650 J/(kg K), estimate the time required for the center of the rubber to reach 132°C.

GIVEN

Tire suddenly exposed to steam on both sides
Steam temperature (T?^?) = 149°C
Tire thickness (2L) = 2.5 cm = 0.025 m
Initial tire temperature (To) = 21°C
The heat transfer coefficient (hc) = 150 W/(m2 K)
The specific heat of the rubber (c) = 165 J/(kg K)

ASSUMPTIONS

Shape effects are negligible, tire can be treated as an infiniteplate