Math Problem Statement

A chemist carefully measures the amount of heat needed to raise the temperature of a

129.0g

sample of

C4H8O2

from

38.5°C

to

49.8°C

. The experiment shows that

×2.27103J

of heat are needed. What can the chemist report for the molar heat capacity of

C4H8O2

? Be sure your answer has the correct number of significant digits.

Solution

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Math Problem Analysis

Mathematical Concepts

Thermodynamics
Heat Capacity
Temperature Change
Molar Mass Calculation
Significant Figures

Formulas

q = mcΔT
ΔT = T_final - T_initial
c = q / (mΔT)
Molar Mass of C4H8O2 = 4(12.01) + 8(1.008) + 2(16.00)
C_m = c * Molar Mass

Theorems

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Suitable Grade Level

Grades 11-12