Final answer:
To determine the temperature increase, the formula q = m · c · ΔT is used. Given a specific heat of 0.870 J/g°C, mass of 10.0 grams, and heat of 2000.0 joules, the temperature increased by approximately 229.9°C.
Step-by-step explanation:
To find out by how many degrees the temperature of the substance increased, we need to use the formula for heat transfer: q = m · c · ΔT, where q is the heat in joules, m is the mass in grams, c is the specific heat in J/g°C, and ΔT is the change in temperature in degrees Celsius. In this case, the specific heat of the substance is 0.870 J/g°C, the mass (m) is 10.0 grams, and the heat (q) provided is 2000.0 joules. We can rearrange the formula to solve for ΔT: ΔT = q / (m · c).
Plugging in the values, we get:
ΔT = 2000.0 J / (10.0 g · 0.870 J/g°C) = 229.9°C.
Therefore, the temperature of the substance increased by approximately 229.9 degrees Celsius.