To convert teaspoons to liters using the provided conversion (1 teaspoon = 0.5 centiliters), we first need to determine how many centiliters are in 50 teaspoons.
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Calculate the centiliters in 50 teaspoons: \[ 50 \text{ teaspoons} \times 0.5 \text{ centiliters/teaspoon} = 25 \text{ centiliters} \]
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Next, convert centiliters to liters: Since 1 liter = 100 centiliters, we can use the following conversion: \[ 25 \text{ centiliters} \times \frac{1 \text{ liter}}{100 \text{ centiliters}} = 0.25 \text{ liters} \]
Thus, 50 teaspoons equal 0.25 liters. Rounding to the nearest hundredth, the final answer is:
\[ \boxed{0.25 \text{ liters}} \]