Question

A certain brand of hotdog cooker works by applying a potential difference of 144 V across opposite ends of a hot dog and allowing it to cook by means of the thermal energy produced. The current is 10.5 A, and the energy required to cook one hot dog is 60.6 kJ. If the rate at which energy is supplied is unchanged, how long will it take to cook three hot dogs simultaneously

Answer 1

Answer:

120.237 seconds

Explanation:

Given that:

V = 144 V

I = 10.5 A

H = 60.6 kJ

Using the formula:

H = I²RT

From H = I²RT; making T the subject, we have:

$T = \dfrac{H}{I^2R}$

where;

$R = \dfrac{V}{I}$

∴

$T = \dfrac{H}{V \times I}$

$T = \dfrac{60.6 \times 10^3 }{144 \times 10.5}$

T = 40.079

$T_{neq} = 3T$

$T_{neq} =3 \times 40.079$

$\mathbf{T_{neq} =120.237 \ sec}$