Let's assume the gas is being heated. increasing the temperature will increase the volume (i. e. as heat increases, gas expands). as no external pressure is being added, consider it as 1 for now. as gas expands, one can measure the volume, therefore, molar volume of gas can be calculated at any moment, but the temperature is unknown. for this task, you need to determine temperature t at p = 50 and vm = 0.8 using the brute force method and the isothermal expansion work between two values of using the symbolic toolbox. the steps to follow are listed below: i. rewrite the equation 1 for root finding, 3t 9a f(t) = 1.- 3b tv (v + 3b) use a = q/100 and b=q/1000 and q=23 iii. determine the value of t for which f(t) = 0 using brute force (for loop) approach and a tolerance of 5%. vector of temperatures 0 st < 100 iv. use the symbolic toolbox to calculate the isothermal expansion work at the temperature t found in the previous step. in this case the volume is changing from vm = 0.7 to vm = 0.9 and the work is calculated as the integral of the pressure function as w = [ "pavm