A copper rod that has a mass of 200 point 0 g has an initial temperature of 20 point 0 times degree C and is heated to 40 point 0 times degree C If 1 comma 540 cap j of heat are needed to heat the rod, what is the specific heat of copper? Use q is equal to m cap c sub p triangle cap t
Answer
A
0 point 0 6 4 9 the fraction with numerator cap j and denominator open paren g times degree cap c close paren
B
0 point 0 1 3 0 the fraction with numerator cap j and denominator open paren g times degree cap c close paren
C
0 point 1 9 3 the fraction with numerator cap j and denominator open paren g times degree cap c close paren
D
0 point 3 8 5 the fraction with numerator cap j and denominator open paren g times degree cap c close paren
Explanation
Use q = mcₚΔT and solve for specific heat: cₚ = q/(mΔT). The temperature change is 40.0°C − 20.0°C = 20.0°C, so cₚ = 1,540 J ÷ (200.0 g × 20.0°C) = 0.385 J/(g·°C). Therefore, the correct choice is C, 0.385 J/(g·°C).
AI-written and checked against the verified answer.