Given a gas is at 25 Land 6 mol, what is the number of moles of the gas when volume changes to 20^circ L Round to one decimal place. square mol

To solve this problem, we can use the ideal gas law, which states that the pressure, volume, and temperature of a gas are related by the equation:<br /><br />PV = nRT<br /><br />where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.<br /><br />Given that the initial volume of the gas is 25 L and the initial number of moles is 6 mol, we can use the ideal gas law to find the initial pressure and temperature of the gas.<br /><br />Let's assume that the pressure and temperature of the gas remain constant during the volume change. Then, we can use the ideal gas law again to find the final number of moles of the gas when the volume changes to 20 L.<br /><br />Using the ideal gas law, we have:<br /><br />P1V1 = n1RT<br />P2V2 = n2RT<br /><br />Since the pressure and temperature remain constant, we can divide the two equations to get:<br /><br />n1V1 = n2V2<br /><br />Substituting the given values, we have:<br /><br />6 mol * 25 L = n2 * 20 L<br /><br />Solving for n2, we get:<br /><br />n2 = (6 mol * 25 L) / 20 L = 7.5 mol<br /><br />Therefore, the number of moles of the gas when the volume changes to 20 L is 7.5 mol.