Car manufacturers are developing engines that use H₂ as fuel. In Iceland, Sweden, and other parts of Scandinavia, where hydroelectric plants produce inexpensive electric power, the H₂ can be made industrially by the electrolysis of water.(c) If the combustion of oil yields 4.0X10⁴ kJ/kg, what mass of oil must be burned to yield the number of joules in part (b)?(b) If the coulombs are supplied at 1.44 V, how many joules are produced?

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Respuesta :

The joules are produced when coulombs are supplied at 1.44 V is 3.94 × 10^11 J and mass of oil burned to yield 3.94 × 10^11 J is 9850000 kg.

Given,

Volume = 2.9 × 10^6

Pressure = 12 atm.

Temperature = 25°C = 298 K

We know the equation

PV = nRT

where,

P is the pressure

V is the Volume

n is the number of moles

R is the gas constant = 0.0821 L atm/mol K

T is the temperature

Calculation of number of moles of H2

n = PV/RT

By substituting the value in above equation, we get

= 12 × 2.9 × 10^6/(0.0821 × 298K)

= 1.422 × 10^6 moles of H2

Chemical reaction

2H(+) + 2e- ------ H2

Coulomb charge needed

1.422 × 10^6 moles of H2 × 2mol e- /1 mol H2)

= 2.844 × 10^6

As we know that,

one mole of electrons = 96500 C = 9.65 × 10^4 C

Now,

2.844 × 10^6 moles of electron can be given as

2.844 × 10^6 × 96500

= 2.74 × 10^11 C

b) Coulomb supplied at 1.44 V

Joules produced = 2.74 × 10^11 C × 1.44

= 3.94 × 10^11 J

c) Given,

Combustion of oil yield = 4.0X10⁴ kJ/kg,

Mass of oil which is burned to yield 3.94 × 10^11 J

= 3.94 × 10^11 J / 4.0X10⁴ kJ/kg

= 0.985 × 10^7

9850000 kg

Thus, we found that the joules are produced when coulombs are supplied at 1.44 V is 3.94 × 10^11 J and mass of oil burned to yield 3.94 × 10^11 J is 9850000 kg.

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The above question is incomplete. The complete question can be given as

QUESTION

Car manufacturers are developing engines that use H₂ as fuel. In Iceland, Sweden, and other parts of Scandinavia, where hydroelectric plants produce inexpensive electric power, the H₂ can be made industrially by the electrolysis of water.

(a) How many coulomb are needed to produce 2.9 × 10^6 L of H2 at 12 atm and 25° C.

(b) If the coulombs are supplied at 1.44 V, how many joules are produced?

(c) If the combustion of oil yields 4.0X10⁴ kJ/kg, what mass of oil must be burned to yield the number of joules