$4\mathrm{.}79$ WP SS A rigid tank whose volume is $2m^3,$ initially containing air at $\frac{1}{b}ar,295K,$ is connected by a valve to a large vessel holding air at $\frac{6}{b}ar,295K.$ The valve is opened only as long as required to fill the tank with air to a pressure of $6$ bar and a temperature of $350$ K $.$ Assuming the ideal gas model for the air, determine the heat transfer between the tank contents and the surroundings, in kJ$.$