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As shown below, an insulated gold wire is immersed in 466 g of water at 22 °C. The wire is 4.9 cm long and has a cross-sectional area of 0.004 cm2. A.) Find how much heat is needed to bring the water to a boil. The specific heat of water is 4186 J/kg·K. Q =  B.) Find how long it will take to bring the water to a boil if a 17 A current is run through the wire. Assume all the thermal energy generated by the wire is absorbed by the water. Δt =

As shown below, an insulated gold wire is immersed in 466 g of water at 22 °C. The wire is 4.9 cm long and has a cross-sectional area of 0.004 cm2. A.) Find how much heat is needed to bring the water to a boil. The specific heat of water is 4186 J/kg·K. Q =  B.) Find how long it will take to bring the water to a boil if a 17 A current is run through the wire. Assume all the thermal energy generated by the wire is absorbed by the water. Δt =

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As shown below, an insulated gold wire is immersed in 466 g of water at 22 °C. The wire is 4.9 cm long and has a cross-sectional area of 0.004 cm2.

A.) Find how much heat is needed to bring the water to a boil. The specific heat of water is 4186 J/kg·K.
Q = 

B.) Find how long it will take to bring the water to a boil if a 17 A current is run through the wire. Assume all the thermal energy generated by the wire is absorbed by the water.
Δt = 

wire
Transcribed Image Text:wire
Resistivity (N'm) 2.65 x 10-8 Material Aluminum Copper 1.68 x 10-8 Gold 2.44 x 10-8 Iron 9.71 x 10-8 Platinum 10.6 x 10-8 Silver 1.59 x 10-8 Tungsten 5.60 x 10-8
Transcribed Image Text:Resistivity (N'm) 2.65 x 10-8 Material Aluminum Copper 1.68 x 10-8 Gold 2.44 x 10-8 Iron 9.71 x 10-8 Platinum 10.6 x 10-8 Silver 1.59 x 10-8 Tungsten 5.60 x 10-8
Expert Solution
GIVEN:

The mass of the water is given as, m=466 g (or) m=0.466 kg.

The initial temperature of the water is given as, Ti=22oC (or) Ti=293 K.

The length of the wire is given as, L=4.9 cm.

The cross sectional area of the wire is given as, A=0.004 cm2.

The specific heat of water is given as, cv=4186 J/kg·K.

The current through the wire is given as, I=17 A.

The resistivity of the gold is given as, ρ=2.44×10-8 Ω·m.

TO DETERMINE:

(a) The heat required to boil the water, Q.

(b) The time taken to boil the water during the current I=17 A flowing through the wire, t.

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