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Determine which law is appropriate for solving the following problem. Carbon dioxide is in a steel tank at 20^circ C 10 liters and 1 atm . What is the pressure on the gas when the tank is heated to 100^circ C Law used: square
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To determine the appropriate law for solving this problem, we need to consider the conditions and variables involved. The problem involves a gas (carbon dioxide) in a tank with a constant volume, and it describes a change in temperature while asking for the resulting change in pressure.<br /><br />The ideal gas law that relates pressure, volume, and temperature is the Combined Gas Law, which is derived from the Ideal Gas Law. However, since the volume is constant in this scenario, we can use a simplified version known as **Gay-Lussac's Law**. Gay-Lussac's Law states that the pressure of a given mass of gas varies directly with the absolute temperature when the volume is kept constant.<br /><br />The formula for Gay-Lussac's Law is:<br /><br />\[ \frac{P_1}{T_1} = \frac{P_2}{T_2} \]<br /><br />Where:<br />- \( P_1 \) and \( P_2 \) are the initial and final pressures,<br />- \( T_1 \) and \( T_2 \) are the initial and final temperatures in Kelvin.<br /><br />Therefore, the appropriate law to use for solving this problem is:<br /><br />Law used: **Gay-Lussac's Law**
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