All mixed up!

A can of volume $1\text{ m}^3$ is filled with a hypothetical gas at $300 \text{ K}$ and initial pressure $1.0 \times 10^6 \text{ Pa}$ . The mass of can is $6 \text{ kg}$ . The can is now kept in a incinerator and heat is supplied to it power $1000t \text{ W/s}$ where $t$ is in seconds. The 'can' can withstand a maximum pressure of $8.0 \times 10^6 \text{ Pa}$ . The specific heat of can is $500 \text{ J/(kg.K)}$ and that of gas is $900 \text{ J/(kg.K)}$ . The coefficient of volumetric expansion of can is $2 \times 10^{-5} \text{ K}^{-1}$ .

Find the time (in seconds to the nearest integer) after which the can will explode. Take molar mass of gas same as that of hydrogen gas and $R=25/3 \text{ Pa m}^3 \text{/(mol K)}$ .