Part of eval main bdd945f six, agent version bdd945f
A copper block of mass 2.5 kg is heated in a furnace to a temperature of 500 °C and then placed on a large ice block. Specific heat of copper = 0.39 J g⁻¹ K⁻¹; heat of fusion of water = 335 J g⁻¹. What is the maximum amount of ice that can melt, in kg?
expects 1.5 kg
draft 24: failed while solving — RuntimeError: no equation determines the mass of ice from what is known the engine knows: known: mass of copper; temperature at first of copper; specific heat capacity of copper; latent heat of ice; temperature at first of ice; temperature after of ice; heat_warms_a_body(ice): heat to warm of ice == ((mass of ice * specific heat capacity of ice) * (temperature after of ice - temperature at first of ice)) — not yet known: heat to warm of ice; specific heat capacity of ice; heat_changes_a_phase(ice): heat to change phase of ice == (mass of ice * latent heat of ice) — not yet known: heat to change phase of ice
1solve :copper_block_on_ice, using: Calorimetry do2 objects :copper, :ice34 take copper_mass: copper.mass5 take copper_temp: copper.temperature_at_first6 take copper_heat: copper.specific_heat_capacity7 take fusion: ice.latent_heat89 deduce_from "placed on a large ice block", ice.temperature_at_first => "0 °C"10 deduce_from "maximum amount of ice that can melt", copper.heat_to_warm => -(ice.heat_to_change_phase), ice.temperature_after => "0 °C"11121314 1516 ice_melt = ice.mass17 answer ice_melt:, in: "kg", figures: 21819 conclusion "The copper cools to 0 °C, giving up heat that melts ice; the maximum melt occurs when all the copper's heat is used."20endRuntimeError: no equation determines the mass of ice from what is known
the engine knows: known: mass of copper; temperature at first of copper; specific heat capacity of copper; latent heat of ice; temperature at first of ice; temperature after of ice; heat_warms_a_body(ice): heat to warm of ice == ((mass of ice * specific heat capacity of ice) * (temperature after of ice - temperature at first of ice)) — not yet known: heat to warm of ice; specific heat capacity of ice; heat_changes_a_phase(ice): heat to change phase of ice == (mass of ice * latent heat of ice) — not yet known: heat to change phase of ice