If the value of the Avogadro number is 6.023 × 1023 and the value of the Boltzmann constant is 1.380 × 10-23 J/K, then the number of significant digits in the calculated value of the universal gas constant is

To calculate the value of the universal gas constant, we can use the equation R = k * N, where R is the gas constant, k is the Boltzmann constant, and N is the Avogadro number.

Given that the Avogadro number is 6.023 × 10^23 and the Boltzmann constant is 1.380 × 10^-23 J/K, we can substitute these values into the equation:

R = (1.380 × 10^-23 J/K) * (6.023 × 10^23)

Multiplying these values together, we get:

R = 8.314 × 10^0 J/(K * mol)

Now, let's analyze the number of significant digits in the calculated value of the gas constant. The number 8.314 has four significant digits, as there are no leading or trailing zeros. The exponent 0 does not affect the significant digits.

Therefore, the calculated value of the universal gas constant has four significant digits.