Answer:
x = 1, y = 1 and z = 0
Step-by-step explanation:
Given equation;
![P^x V^y T^z = constant](https://img.qammunity.org/2022/formulas/physics/college/5hlwq76ay0cyc1c672nxly9gdoh5sulf66.png)
Boyle's law states that at constant temperature, the volume of a fixed mass of gas is inversely proportional to its pressure.
Mathematically the law is written as;
![PV = constant](https://img.qammunity.org/2022/formulas/physics/college/uy24s4q5e1si6c6nzi21gctco317e4sobq.png)
From the given equation, the values of x, y and z that will match this law is calculated as follows;
![P^1 V^1 T^0 = constant\\\\P^1 = P\\\\V^1 = V\\\\T^0 = 1\\\\P * V * 1 = PV = constant\\\\Thus, x = 1, \ y = 1 \ \ and \ z = 0](https://img.qammunity.org/2022/formulas/physics/college/ciagmxjd3mlcmwmas5octmkaufppgn4xq9.png)