Question

ok, so how many joules would it take to raise 2 grams of al 1 degree? .126 joules 1.800 joules .900 joules rewatch

Explanation:

Step1: Recall the specific heat formula

The formula for heat energy \( Q \) is \( Q = mc\Delta T \), where \( m \) is mass, \( c \) is specific heat capacity, and \( \Delta T \) is the change in temperature. For aluminum (Al), the specific heat capacity \( c = 0.900 \, \text{J/g°C} \). Here, \( m = 2 \, \text{g} \), \( \Delta T = 1 \, \text{°C} \).

Step2: Substitute values into the formula

Substitute \( m = 2 \), \( c = 0.900 \), and \( \Delta T = 1 \) into \( Q = mc\Delta T \). So \( Q = 2 \times 0.900 \times 1 \).

Step3: Calculate the result

\( 2 \times 0.900 \times 1 = 1.800 \)? Wait, no, wait. Wait, no, the specific heat of Al is \( 0.900 \, \text{J/g·°C} \)? Wait, no, actually, the specific heat of aluminum is \( 0.900 \, \text{J/g·°C} \)? Wait, no, let's check again. Wait, the formula is \( Q = mc\Delta T \). So \( m = 2 \, \text{g} \), \( c = 0.900 \, \text{J/g·°C} \), \( \Delta T = 1 \, \text{°C} \). Then \( Q = 2 \times 0.900 \times 1 = 1.800 \)? Wait, no, that can't be. Wait, no, maybe I mixed up. Wait, no, the specific heat of aluminum is \( 0.900 \, \text{J/g·°C} \), so for 1 gram, it's 0.900 J per degree. For 2 grams, it's \( 2 \times 0.900 = 1.800 \)? Wait, but let's recalculate. \( 2 \times 0.900 = 1.800 \). So the heat required is \( 1.800 \) Joules? Wait, but the options have 1.800 Joules. Wait, but let me confirm. The specific heat of Al is \( c = 0.900 \, \text{J/g·°C} \). So \( Q = mc\Delta T = 2 \, \text{g} \times 0.900 \, \text{J/g·°C} \times 1 \, \text{°C} = 1.800 \, \text{J} \). Wait, but the options also have 0.900. Wait, maybe I made a mistake. Wait, no, 2 grams: 1 gram is 0.900, so 2 grams is 1.800. So the correct answer should be 1.800 Joules. Wait, but let's check again. The formula is \( Q = mc\Delta T \). So \( m = 2 \), \( c = 0.900 \), \( \Delta T = 1 \). So \( 2 \times 0.900 \times 1 = 1.800 \). So the answer is 1.800 Joules. Wait, but the options are.126, 1.800, .900. So 1.800 is an option. So that's the answer.

Answer:

1.800 Joules (corresponding to the option "1.800 Joules")