Which of these expressions are correct variations of the Combined Gas Law? T_(1)=T_(2)((P_(1)V_(1))/(P_(2)V_(2))) V_(2)=V_(1)((T_(2))/(T_(1)))((P_(1))/(P_(2))) both expressions are correct

To determine which expressions are correct variations of the Combined Gas Law, we need to start with the standard form of the Combined Gas Law:<br /><br />\[<br />\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}<br />\]<br /><br />Let's analyze each given expression:<br /><br />1. **Expression 1:**<br /> \[<br /> T_{1} = T_{2} \left(\frac{P_{1}V_{1}}{P_{2}V_{2}}\right)<br /> \]<br /> Rearranging the Combined Gas Law to solve for \( T_1 \), we have:<br /> \[<br /> T_1 = T_2 \left(\frac{P_1 V_1}{P_2 V_2}\right)<br /> \]<br /> This matches the given expression, so Expression 1 is correct.<br /><br />2. **Expression 2:**<br /> \[<br /> V_{2} = V_{1} \left(\frac{T_{2}}{T_{1}}\right) \left(\frac{P_{1}}{P_{2}}\right)<br /> \]<br /> Rearranging the Combined Gas Law to solve for \( V_2 \), we have:<br /> \[<br /> V_2 = V_1 \left(\frac{T_2}{T_1}\right) \left(\frac{P_1}{P_2}\right)<br /> \]<br /> This matches the given expression, so Expression 2 is also correct.<br /><br />Therefore, both expressions are correct variations of the Combined Gas Law. The answer is:<br /><br />**both expressions are correct**