A sample of neon gas is stored in a 5.0-L metal cylinder at a pressure of 175 atm. The gas is then transferred to a larger container with a volume of 12 L. The temperature of the gas remains constant. Calculate the pressure of the neon gas in the new container. Round your answer to the nearest whole number. square atm Show equations and constants v

To solve this problem, we use **Boyle's Law**, which states that for a gas at constant temperature, the product of pressure and volume is constant:<br /><br />\[<br />P_1 V_1 = P_2 V_2<br />\]<br /><br />Where:<br />- \(P_1\) = initial pressure = 175 atm<br />- \(V_1\) = initial volume = 5.0 L<br />- \(P_2\) = final pressure (to be calculated)<br />- \(V_2\) = final volume = 12 L<br /><br />### Step 1: Rearrange Boyle's Law to solve for \(P_2\):<br />\[<br />P_2 = \frac{P_1 V_1}{V_2}<br />\]<br /><br />### Step 2: Substitute the known values:<br />\[<br />P_2 = \frac{(175 \, \text{atm})(5.0 \, \text{L})}{12 \, \text{L}}<br />\]<br /><br />### Step 3: Perform the calculation:<br />\[<br />P_2 = \frac{875}{12} = 72.92 \, \text{atm}<br />\]<br /><br />### Step 4: Round to the nearest whole number:<br />\[<br />P_2 = 73 \, \text{atm}<br />\]<br /><br />### Final Answer:<br />\[<br />\boxed{73 \, \text{atm}}<br />\]