The energy needed to keep a 75-watt lightbulb burning for 1.0 h is 270 kJ. Calculate the energy required to keep the lightbulb burning for 5.0 h in each of the following energy units. a) joules b) kilocalories

Respuesta :

Answer:

(a) 1.35 x 10^6 Joule

(b) 321.45 Kcal

Explanation:

Energy consumed in 1 hour = 270 kJ

So, Energy consumed in 5 hour = 270 x 5 = 1350 kJ

(a) Energy in joules = 1350 x 1000 J = 1.35 x 10^6 J

(b) 4.2 Joule = 1 calorie

So, 1.35 x 10^6 Joule = 1.35 x 10^6 / 4.2 = 0.32 x 10^6 Calorie

                                                                =  0.32 x 1000 Kcal = 321.45 Kcal

The electrical energy consumed by the lightbulb is 1..35 x 10⁶J or 322.65 kcal.

Electrical energy

The electrical energy consumed by the lightbulb is the product of power and time of energy consumption.

E = Pt

1 h ------------------- 270 kJ

5 h -------------------- ?

= 5 x 270 kJ

= 1,350 kJ

= 1.35 x 10⁶ J.

1 kJ ---------------- 0.239 kcal

1,350 kJ ------------ ?

= 1,350 x 0.239

= 322.65 kcal.

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