Chapter 1

Q. 1.SP.2

Convert 200 Btu to (a) BG, (b) SI, and (c) cgs metric units of energy.

Step-by-Step

Verified Solution

From inside the front cover:

1 \mathrm{Btu}=778 \mathrm{ft} \cdot \mathrm{lb}, \quad 1 \mathrm{ft} \cdot \mathrm{lb}=1.356 \mathrm{~N} \cdot \mathrm{m}=1.356 \mathrm{~J}, \quad 1 \mathrm{~N}=10^{5} dyne.

(a) For BG units: 200 \mathrm{Btu}=200 \mathrm{Btu}\left(\frac{778 \mathrm{ft} \cdot 1 \mathrm{lb}}{1 \mathrm{Btu}}\right)=155,600 \mathrm{ft} \cdot \mathrm{lb}.

(b) For SI units: 155,600 \mathrm{ft} \cdot \mathrm{lb}=155,600 \mathrm{ft} \cdot \mathrm{lb}\left(\frac{1.356 \mathrm{~N} \cdot \mathrm{m}}{1 \mathrm{ft} \cdot \mathrm{lb}}\right)

=210994 \mathrm{~N} \cdot \mathrm{m}=211 \mathrm{kN} \cdot \mathrm{m}=211 \mathrm{~kJ}.

(c) For cgs units: 210994 \mathrm{~N} \cdot \mathrm{m}=211 \times 10^{3} \mathrm{~N} \cdot \mathrm{m}\left(\frac{10^{5} \mathrm{dyne}}{1 \mathrm{~N}}\right)\left(\frac{10^{2} \mathrm{~cm}}{\mathrm{~m}}\right)

=211 \times 10^{10} dyne \cdot \mathrm{cm}=211 \times 10^{10} \mathrm{erg}.