Jim is cooking sopas (chicken noodle soup) for Noche Buena. He finished early in the afternoon and wants to preserve it but the sopas is still too hot if it will be put directly on the refrigerator. The sopas has just boiled a hundred degree Celsius and the refrigerator wasn't powerful enough for the big container of the soup if it was warmer than 20 degrees Celsius. Jose found out that cooling it in a sink full of cold water, while the faucet is running with the water resulting to roughly constant temperature of 3 degrees Celsius, could bring the temperature of the sopas to 58 degrees Celsius in 14 minutes. Determine the value of the proportionality constant.

Jim is cooking sopas (chicken noodle soup) for Noche Buena. He finished early in the afternoon and wants to preserve it but the sopas is still too hot if it will be put directly on the refrigerator. The sopas has just boiled a hundred degree Celsius and the refrigerator wasn't powerful enough for the big container of the soup if it was warmer than 20 degrees Celsius. Jose found out that cooling it in a sink full of cold water, while the faucet is running with the water resulting to roughly constant temperature of 3 degrees Celsius, could bring the temperature of the sopas to 58 degrees Celsius in 14 minutes. Determine the value of the proportionality constant.