19395933 ft^3 of CH4 would produce the Same amount of energy.
Given,
(c) 1qt =946m^3
1m^3= 10^6 g
946m^3= 9.46 ×10^8 g
c = 4.2
∆T = 100-25 =75°C
We know,
Q=mc∆T
Q= 9.46 × 10^8× 4.2× 75 = 3× 10^11 j
mass of CH4 that releases =3×10^11j of heat
802000j is released by CH4 = 16 g of CH4
1j is released by CH4 = 16/802000 g
3×10^11 j is released = 3× 10^11 ×16 /802000 g of CH4
=5985037g of CH4
0.72 g occupies 1L
1 g occupies 1/0.72 L
5985037 g occupies = 5985037/0.72 L
= 8312551 L
1L = 0.035 ft^3
8312551 L = 290939.2 ft^3
(d) 3× 10^11 j is released by 290939 ft^3 of CH4
1 j is released by (290939 / 3×10^11 ) ft^3
2× 10 ^13 j is released by
2×10^13(290939 / 3×10^11 )ft^3
= 19395934 ft^3 of CH4
Hence, 19395933 ft^3 of CH4 would produce the Same amount of energy.
Learn more about methane here :
brainly.com/question/694309
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Disclaimer: incomplete question.here is the complete question .
Question :
When organic matter decomposes under oxygen-free (anaerobic) conditions, methane is one of the products. Thus, enormous deposits of natural gas, which is almost entirely methane, serve as a major source of fuel for home and industry.
(c) What volume (in ft3) of natural gas, measured at STP, is required to heat 1.00 qt of water from 25∘ C to 100∘C (d of H2O = 1.00 g/mL; of CH4 at STP = 0.72 g/L
(d) The fission of 1 mol of uranium (about 4×10⁻⁴ ft³ ) in a nuclear reactor produces 2 ×10¹³J. What volume (in ft³) of natural gas would produce the same amount of energy?
