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Question
To melt ice to water at −30∘C do we need to increase or decrease pressure? According to Boyle's law.
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Solution
To melt the ice we need to increase the temperature,when the temperature increases the pressure also increases. Talking of Boyle's and Charles' Law is a different discussion. Boyle's Law says that at fixed temperature, volume of gas is inversely proportional to pressure and Charles law states that at constant pressure volume of gas is directly proportional to temperature. Rather , Gay Lussac's law talks about pressure and temperature dependence that at constant volume of a gas, pressure is directly proportional to temperature.
But all the above are applicable to gases and your case is completely different so we cannot apply any of these laws.
The point to be understood here is that ice is solid and water is liquid. Now, solid has compact structure and liquid a more fluid as intermolecular force of attraction is lesser in liquids than in solids. So, to convert solid ice to liquid water we need to apply pressure if you have to keep temeprature constant.
Increasing temperature increases energy of the atoms and the atoms become more free. Same happens when we apply pressure as the atoms are displaced to larger extent and the interatomic force becomes weaker making it easier for ice to convert to liquid.
So, if you are keeping temperature constant at −30∘C, pressure has to be applied i.e increase the pressure.
Talking of Boyle's and Charles' Law is a different discussion. Boyle's Law says that at fixed temperature, volume of gas is inversely proportional to pressure and Charles law states that at constant pressure volume of gas is directly proportional to temperature.
Rather , Gay Lussac's law talks about pressure and temperature dependence that at constant volume of a gas, pressure is directly proportional to temperature.
But all the above are applicable to gases and your case is completely different so we cannot apply any of these laws.
The point to be understood here is that ice is solid and water is liquid. Now, solid has compact structure and liquid a more fluid as intermolecular force of attraction is lesser in liquids than in solids. So, to convert solid ice to liquid water we need to apply pressure if you have to keep temeprature constant.
Increasing temperature increases energy of the atoms and the atoms become more free. Same happens when we apply pressure as the atoms are displaced to larger extent and the interatomic force becomes weaker making it easier for ice to convert to liquid.
So, if you are keeping temperature constant at −30∘C, pressure has to be applied i.e increase the pressure.
But all the above are applicable to gases and your case is completely different so we cannot apply any of these laws.
The point to be understood here is that ice is solid and water is liquid. Now, solid has compact structure and liquid a more fluid as intermolecular force of attraction is lesser in liquids than in solids. So, to convert solid ice to liquid water we need to apply pressure if you have to keep temeprature constant.
Increasing temperature increases energy of the atoms and the atoms become more free. Same happens when we apply pressure as the atoms are displaced to larger extent and the interatomic force becomes weaker making it easier for ice to convert to liquid.
So, if you are keeping temperature constant at −30∘C, pressure has to be applied i.e increase the pressure.
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