Question
Dina computed the mass of 1,000 protons in grams. The calculator displayed the number
Answers
GPT-4o mini
To calculate the mass of 1,000 protons in grams, we first need to know the mass of a single proton. The mass of a proton is approximately \(1.67 \times 10^{-27}\) kilograms.
To find the mass of 1,000 protons, we can use the following calculation:
\[
\text{Mass of 1,000 protons} = 1000 \times (1.67 \times 10^{-27} \text{ kg})
\]
Calculating this gives:
\[
\text{Mass of 1,000 protons} \approx 1.67 \times 10^{-24} \text{ kg}
\]
To convert this mass into grams, we recall that \(1 \text{ kg} = 1000 \text{ grams}\):
\[
1.67 \times 10^{-24} \text{ kg} = 1.67 \times 10^{-21} \text{ grams}
\]
Thus, the mass of 1,000 protons is approximately \(1.67 \times 10^{-21}\) grams.
So, the calculator displayed the number \(1.67 \times 10^{-21}\).
To find the mass of 1,000 protons, we can use the following calculation:
\[
\text{Mass of 1,000 protons} = 1000 \times (1.67 \times 10^{-27} \text{ kg})
\]
Calculating this gives:
\[
\text{Mass of 1,000 protons} \approx 1.67 \times 10^{-24} \text{ kg}
\]
To convert this mass into grams, we recall that \(1 \text{ kg} = 1000 \text{ grams}\):
\[
1.67 \times 10^{-24} \text{ kg} = 1.67 \times 10^{-21} \text{ grams}
\]
Thus, the mass of 1,000 protons is approximately \(1.67 \times 10^{-21}\) grams.
So, the calculator displayed the number \(1.67 \times 10^{-21}\).